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Exponentiation

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 this number a by itself.

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Exponentiation -

Tag(s) : Mathematics, Arithmetics

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# Exponentiation

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## Exponentiation Calculator a^b

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 this number a by itself.

### How to calculate a raised to power b?

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

### How to write a raised to power b?

In mathematics, a power is written $$a$$ exponent $$b$$ as $$a^b$$.

In computing, the exponentiation calculation is often indicated by a circumflex ^.

Example: a^b for a power b (a is called the base and b the exponent).

In some programming languages there is also a**b (the multiplication sign twice)

### What is a negative power?

A negative power is the inverse of a positive power.

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

### What is the minus one -1 power?

The power -1 in maths is simply a mathematical inverse.

Example: $$n^{-1} = \frac{1}{n^1} = \frac{1}{n}$$

### Why exponent has to be an integer and not rational?

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.