Powers in excel 2007

POWER в Excel (формула, примеры) — Как использовать функцию POWER?

ВЛАСТЬ в Excel (Содержание)

• СИЛА в Excel
• POWER Formula в Excel
• Как использовать функцию POWER в Excel?

СИЛА в Excel

Я до сих пор помню дни, когда мой учитель математики почти каждый день бил меня за то, что я не помнил КВАДРАТНЫЙ КОРЕНЬ чисел. Я буквально плакал, когда наступил математический период. Есть много случаев, когда я занимался математикой только для того, чтобы избежать побоев со стороны моего учителя математики.

Хорошо, теперь мне не нужно запоминать все эти КВАДРАТНЫЕ КОРНИ, вместо этого я могу положиться на красивую функцию под названием POWER Function.

Функция POWER помогает поднять число в другое число раз до мощности.

Например: каково значение 5 на квадрат 3? Ответ 5 * 5 * 5 = 125 .

POWER Formula в Excel

Ниже приведена формула СИЛА:

Функция Power включает в себя два параметра, и оба являются обязательными аргументами.

Число: число, которое вам нужно для поднятия силы, т.е. базовое число любого действительного числа.

Мощность: сколько раз вам нужно поднять базовое число. Это показатель для поднятия базового числа.

Символ или оператор (оператор каретки) действует как показатель степени. Например: 6 2 = 36. Это не 6 умножается на 2, а 6 * 6 = 36. Шесть умножается на сам шесть дважды.

Простое уравнение 5 * 5 * 5 * 5 = 625

Как использовать функцию POWER в Excel?

Эта функция POWER очень проста в использовании. Давайте теперь посмотрим, как использовать функцию POWER с помощью нескольких примеров.

Вы можете скачать эту функцию POWER в шаблоне Excel здесь — функция POWER в шаблоне Excel

Пример № 1

Предположим, у вас есть базовые числа из A2: A6 и степенное число (экспоненциальные числа) из B2: B6. Показать мощность значений в столбце A, используя числа питания в столбце B.

Применить формулу силы в ячейке C2

Перетащите формулу в другие ячейки.

• Первое значение — это базовое число 8, возведенное в степень 3, то есть 8 куб. = 8 * 8 * 8 = 512.

Во-вторых, базовое число 11 повышается до степени 6, то есть 11 умножается в 6 раз на 11. = 11 * 11 * 11 * 11 * 11 * 11 = 17, 71 561. Точно так же все значения привели таким образом.

Пример № 2

Используйте те же данные из приведенного выше примера. Вместо использования функции POWER мы используем оператор каретки (^) для выполнения расчетов. Результаты будут такими же, хотя.

Примените формулу в ячейке H2

Перетащите формулу в другие ячейки.

Пример № 3

Использование функции POWER вместе с другими функциями. Из приведенных ниже данных увеличьте все четные числа на 2, если число не четное, то увеличьте значение на 5.

Здесь сначала нужно проверить, является ли число четным или нет. Если число найдено даже тогда, увеличьте мощность на 2, если не увеличьте мощность на 5.

Проблема такого типа может быть решена с помощью условия IF, чтобы проверить, является ли число четным или нет.

Примените формулу в ячейке B2.

Перетащите формулу в другие ячейки.

• Если условие IF проверяет, равно ли указанное число четному числу или нет. = ЕСЛИ (А2 = РАВ (А2),
• Если логика ПЧ истинна, функция POWER повысит мощность на 2. = POWER (A2, 2),
• Если логика ПЧ ложна, функция POWER увеличивает мощность на 5. = POWER (A2, 5),

Функция POWER в VBA

В VBA также мы можем использовать функцию POWER. Однако дело в том, что мы не видим многих из этих живых примеров в нашей повседневной жизни.

Шаг 1: Откройте редактор VBA (ALT + F11).

Шаг 2: Перейти, чтобы вставить и вставить модуль. Это мгновенно создаст новый модуль для написания нашего кода для функции POWER

Шаг 3: Скопируйте и вставьте приведенный ниже код в новый модуль.

Dim My_Result As String

My_Result = Application.WorksheetFunction.Power (6, 3)

Теперь ваше окно должно выглядеть так, как показано ниже.

Если вы запустите код, вы получите следующий результат.

Что нужно помнить о функции POWER

• Для лучшего понимания мы можем представить степенную функцию таким образом. POWER (X, Y) или POWER (X Y) оба одинаковы.
• Функция POWER применяется только для числовых значений. Что-нибудь кроме числовых значений, это вызовет ошибку как # ЗНАЧЕНИЕ! Если какой-либо из параметров содержит нечисловые значения, мы получим ошибку. На рисунке ниже показан пример ошибки.

Это покажет ошибку.

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Источник

How to raise a number to a power in Excel using the formula and operator

Often, users need to raise a number to a power. How to do it correctly with the help of «Excel»?

In this article, we will try to understand popular user questions and give instructions on how to use the system correctly. MS Office Excel allows you to perform a number of mathematical functions: from the simplest to the most complex. This universal software is designed for all occasions.

How to raise to the power of in excel?

Before searching for the required function, pay attention to the mathematical laws:

1. «1» will remain «1» to any degree.
2. «0» will remain «0» to any degree.
3. Any number raised to zero degree equals one.
4. Any value of «A» in the power of «1» will be equal to «A».

Examples in Excel:

Variant 1. Use the character «^»

The standard and easiest option is to use the «^» icon, which is obtained by pressing Shift + 6 with the English keyboard layout.

1. In order for the number to be exponentiation to the required degree, it is necessary to put the «=» sign in the cell before specifying the number you want to build.
2. The degree is indicated after the sign «^».

We built 8 into a «square» (that is, to the second degree) and got the result of the calculation in cell «A2».

Variant 2. Using the function

In Microsoft Office Excel there is a convenient function «POWER», which you can activate for simple and complex mathematical calculations

The function looks like this:

1. The numbers for this formula are indicated without spaces or other signs.
2. The first digit is the value «number». This is the basis (that is, the figure that we are building). Microsoft Office Excel allows the introduction of any real number.
3. The second figure is the value of «degree». This is an indicator in which we build the first figure.
4. The values of both parameters can be less than zero ( with a «-» sign).

Formula for the exponentiation in Excel

Examples of using the =POWER() function.

Using the function wizard:

1. Start the function wizard by using the hotkey combination SHIFT + F3 or click on the button at the beginning of the formula line «fx» (insert function). From the «Or select a category:» drop-down list, select «Math & Trig», and in the bottom field «Select a function:», specify the function «POWER» we need and click OK. Or select: «FORMULAS»-«Function Library»-«Math & Trig»-«POWER».
2. In the dialog that appears, fill in the fields with arguments. For example, we need to exponentiate «2» to the degree of «3». Then in the first field enter «2», and in the second — «3».
3. Press the «OK» button and get in the cell into which the formula was entered, the value we need. For this situation, it is «2» in the «cube», i.e. 2 * 2 * 2 = 8. The program has calculated everything correctly and has given you the result.

If you think that extra clicks are a dubious pleasure, we offer one simpler variant.

Entering the function manually:

1. In the formula line we put the sign «=» and begin to enter the name of the function. Usually it is enough to write «=po…» — and the system itself will guess to offer you a useful option.
2. As soon as you saw such a hint, just press the «Tab» key. Or you can continue to write, manually enter each letter. Then in parentheses, specify the required parameters: two numbers separated by a semicolon.
3. After that, click on «Enter» — and in the cell the calculated value 8 appears.

The sequence of actions is simple, and the user gets the result quickly enough. In arguments, instead of numbers, you can specify cell references.

Square root power in Excel

To extract the root using Microsoft Excel formulas, we use a slightly different, but very convenient, way of calling functions:

1. Go to the «FORMULAS» tab. In the «Function Library» section of the toolbar, click on the «Math & Trig» tool. And from the drop-down list, select the «SQRT» option.
2. Enter the function argument at the system request. In our case, it was necessary to find the root from «25», so we enter it into the line. After entering the number, just click on the «OK» button. In the cell, the figure obtained as a result of the mathematical calculation of the root will be reflected.

ATTENTION! If we need to know the root of the degree in Excel then we do not use the function =SQRT(). Let us recall the theory from mathematics:

«A root of the n -th degree of a is a number b whose n -th degree is equal to a «, that is:
n √a = b; b n = a
«A root of n -th degree from the number a will be equal to raising to the degree of the same number a by 1/ n «, that is:
n √a = a 1/n
From this it follows that to calculate the mathematical formula of the root in the n -th degree for example:
5 √32 = 2

In Excel, you should write through this formula: = 32 ^ (1/5), that is: = a ^ (1 / n) — where a is a number; N-degree:

Or through this function: =POWER(32,1/5)

In the arguments of a formula and a function, you can specify cell references instead of the numbers.

How to write a number to the degree in Excel?

It is often important for you that the number in the degree is correctly displayed when printing and looks beautiful in the table. How to write a number to the degree in Excel? Here you need to use the Format Cells tab. In our example, we recorded «3» in the cell «A1», which should be presented to the -2 degree.

The sequence of actions is as follows:

1. Right click on the cell with the number and select the tab «Format Cells» from the pop-up menu. If it does not work out — find the «Format Cells» tab in the top panel or press CTRL + 1.
2. In the menu that appears, select the «Number» tab and set the format for the «Text» cell. Click OK.
3. In cell A1 enter «-2» next to «3» and select it.
4. Again, we call the format of cells (for example, by pressing CTRL + 1 hot keys) and now the «Font» tab is only available for us, where we tick the «Superscript» option. And click OK.
5. The result should display the following meaning:

Using Excel’s features is easy and convenient. With them you save time on the implementation of mathematical calculations and the search for the necessary formulas.

Источник

In mathematics, we had exponents, the power to a given base number. In Excel, we have a similar built-in function known as the POWER function, which is used to calculate the power of a given number or base. To use this function, we can use the keyword =POWER( in a cell and provide two arguments, one as the number and another as power.

For example, suppose the base number 4 is raised to the power number 3. i.e., 4 cube. =4*4*4 = 64.

A POWER in Excel is a Math/Trigonometric function that computes and returns the result of a number raised to a power. The POWER Excel function takes two arguments: the base (any real number) and the exponent (power that signifies how many times the given number will be multiplied by itself). For example, 5 multiplied by a power of 2 is the same as 5 x5.

The Formula of POWER Function

Explanation of POWER Function in Excel

The POWER function in Excel takes both arguments as a numeric value. Hence, the arguments passed are of integer type where the number is the base number, and the POWER is the exponent. Both arguments are required and are not optional.

We can use the POWER function in Excel in many ways, like for mathematical operations. For example, we can use the POWER function equation to compute the relational algebraic functions.

How to Use POWER Function in Excel

The Excel POWER function is very simple and easy to use. Let us understand the working of POWER in Excel by some examples.

You can download this POWER Function Excel Template here – POWER Function Excel Template

POWER in Excel Example #1

We have a POWER function equation y=x^n (x to the power n), where y is dependent on the value of x, and n is the exponent. We also want to draw the graph of this f(x, y) function for given values of x and n=2. For example, the values of x are:

So, in this case, since the value of y depends upon the nth power of x, we will calculate the value of Y using the POWER function in Excel.

• 1^st value of y will be 2^2 (=POWER(2,2)
• 2^nd value of y will be 4^2 (=POWER(4,2)
• ……………………………………………………………
• ……………………………………………………………
• 10^th value of y will be 10^2 (=POWER(10,2)

Now, selecting the values of x and y from range B4:K5, choose the graph (in this example, we have chosen the scatter graph with smooth lines) from the “Insert” tab.

So, we get a linear, exponential graph for the given POWER function equation.

POWER in Excel Example #2

In algebra, we have the quadratic POWER function equation, represented as ax2+bx+c=0, where x is unknown, and a, b and c are the coefficients. The solution of this POWER function equation gives the roots of the equation, which are the values of x.

The roots of the quadratic POWER function equation are computed by following mathematical formula:

• x = (-b+ (b²-4ac)^1/2)/2a
• x = (-b- (b²-4ac)^1/2)/2a

b2-4ac is called discriminant and describes a quadratic POWER function equation’s number of roots.

Now, we have a list of quadratic POWER function equations given in column A. But, first, we need to find the roots of the equations.

^ is the exponential operator used to represent the power (exponent). For example, X2 is the same as x^2.

We have five quadratic POWER function equations, and we will solve them using the formula with the help of the POWER function in Excel to find the roots.

In the first POWER function equation, a=4, b=56, and c = -96. If we mathematically solve them using the above formula, we have the roots -15.5 and 1.5.

To implement this in Excel formula, we will use the POWER function in Excel and the formula will be:

• =((-56+POWER(POWER(56,2)-(4*4*(-93)),1/2)))/(2*4) will give the first root and
• =((-56-POWER(POWER(56,2)-(4*4*(-93)),1/2)))/(2*4) will give the second root of the equation

So, the complete formula will be,

=”Roots of equations are”&” “&((-56+POWER(POWER(56,2)-(4*4*(-93)),1/2)))/(2*4)&” , “&((-56-POWER(POWER(56,2)-(4*4*(-93)),1/2)))/(2*4)

The formulas are concatenated with the string “Roots of equation are.”

Using the same formula for other POWER function equations, we have:

Output:

POWER in Excel Example #3

So, we can use the POWER function in Excel for different mathematical calculations.

Suppose we have to find out the compound interestCompound interest is the interest charged on the sum of the principal amount and the total interest amassed on it so far. It plays a crucial role in generating higher rewards from an investment.read more for which the formula is:

Amount = Principal (1 + r/n)^nt

• Where r is the interest rate, n is the number of times interest is compounded per year, and t is the time.
• If an amount of $4,000 is deposited into an account (saving) at an interest rate of 5% annually, compounded monthly, the value of the investment after 5 years can be calculated using the above compound interest formula.
• When, Principal = $4000, rate = 5/100 that is 0.05, n =12 (compounded monthly), time =5 years.

We have the formula using the compound interest formula and implementing it into the Excel formula using the POWER function.

=B2*(POWER((1+(B3/B5)),(B4*B5)))

So, the investment balance after 5 years is $5.133.43.

POWER in Excel Example #4

According to Newton’s gravitation law, two bodies at a distance of r from their center of gravity attract each other in the universe according to a gravitational POWER Excel formula.

F = (G*M*m)/r²

When F is the magnitude of the gravitational force, G is called the gravitational constant, M is the mass of the first body, m is the mass of the second body, and r is the distance between the bodies from their center of gravity.

Let us calculate the magnitude of gravitational force by which the sun pulls the earth.

• The mass of the sun is 1.98*10^30 kg.
• The mass of the earth is 5.97*10^24 kg.
• The distance between the sun and the earth is 1.496 x 10^11 meters.
• Gravitational constant value is 6.67*10^-11 m3kg-1s-2.

In Excel, if we want to calculate the gravitational force, we will again be using the POWER in Excel that can operate over big numeric values.

• So, we can convert the scientific notation values into the POWER Excel formula using the POWER in Excel.
• 1.98*10^30 will be represented as 1.98*Power(10,30), similarly to other values.
• So, the POWER Excel formula to calculate the force will be: = (6.67*POWER(10,-11)*1.98*POWER(10,30)*5.97*POWER(10,24))/POWER(1.496*POWER(10,11),2)

Since the value obtained as force is a big number Excel expressed it scientific notationIn Excel, scientific notation is a specific style of writing numbers in scientific and exponential forms. Scientific notation compactly helps display values, allowing us to compare and use the same in calculations.read more. To change it into a fraction, change the format to the fraction.

Output:

So, the sun pulls the earth with a force of magnitude 35229150283107900000000 Newton.

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