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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

ab = a a a ...a b times

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 = 34

Example 2

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

25 = 5 × 5 = 52

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 50 and 1000

50 = 1 1000 = 1

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