Tool to compute power of a number. Exponentiation (or power) of a number 'a^b' is the result of the 'b'-times repeated multiplication of the number 'a' by itself.

Exponentiation - dCode

Tag(s) : Arithmetics

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Tool to compute power of a number. Exponentiation (or power) of a number 'a^b' is the result of the 'b'-times repeated multiplication of the number 'a' by itself.

Calculating \( a \) power \( b \) (also called \( a \) exponent \( b \)) corresponds to multiply \( a \) by itself \( b \) times.

$$ a^n = \underbrace{a \times \cdots \times a}_{b\ times} $$

Example: $$ 2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32 $$

In a power calculation \( a^b = c \), the part \( a \) is called the **base** and the part \( b \) is called the **exponent**, \( c \) is normally called **power** but in everyday language **power** and **exponentiation** are often exchanged.

In mathematics, a power is written \( a \) exponent \( b \) as \( a^b \).

In computing, the exponentiation calculation is often indicated by a circumflex ^ : a^b for a power b. In some programming languages, the notation a**b (the multiplication sign twice) is used.

A negative power is the inverse of a positive power.

Example: \( a^{-2} = \frac{1}{a^2} \)

The power -1 in maths is equivalent to a mathematical inverse.

Example: \( n^{-1} = \frac{1}{n^1} = \frac{1}{n} \)

Exponent corresponds to the number of times the multiplication has to be done. If the exponent is not an integer, it becomes a root calculus and is not managed by this function. Use the formal calculator on dCode.

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Source : https://www.dcode.fr/exponentiation-calculation

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