# What Are Powers?

A power consists of a base and an exponent. Powers are used to write multiplication in an easier, more accessible way, and to simplify calculations. If you multiply a number by itself multiple times, it can be written as a power.

Theory

### Powers

A power is an expression

where $a$ is called the base, and $b$ is the exponent.

The base $a$ is the number that you multiply by itself, and $b$ is how many times you will be multiplying $a$ by itself.

Example 1

Write 3 multiplied by itself 4 times as a power

 $3×3×3×3={3}^{4}$

Example 2

Write the number 25 as a power with 5 as a base

 $25=5×5={5}^{2}$

Note! If the exponent is equal to 0, the value of the power is always 1, for all bases apart from 0.

Example 3

### Power

Calculate ${5}^{0}$ and $10{0}^{0}$

$\begin{array}{lll}\hfill {5}^{0}=1& \phantom{\rule{2em}{0ex}}& \hfill \\ \hfill 10{0}^{0}=1& \phantom{\rule{2em}{0ex}}& \hfill \end{array}$