Power

How to solve the power (exponent) of a number: formula, 3 examples, and their solutions.

Formula

Formula

am means multiply a m times.
[a] is the base.
[m] is the exponent.

How to read am:
a to the m
a to the mth
a to the power of m
a to the power of mth
a raised to the mth power

Example 1

Example

The exponent of 32 is 2.
If the exponent of a power is 2, it has a special name: square.
So 32 is read as [3 squared].

Solution

32 means multiply 3 2 times.
So 32 = 3⋅3.

3⋅3 = 9.

So 9 is the answer.

Example 2

Example

The exponent of 23 is 3.
If the exponent of a power is 3, it also has a special name: cube.
So 23 is read as [2 cubed].

Solution

23 means multiply 2 3 times.
So 23 = 2⋅2⋅2.

2⋅2⋅2 = 4⋅2 = 8.

So 8 is the answer.

Example 3

Example

Solution

(-2)4 means multiply (-2) 4 times.
So (-2)4 = (-2)⋅(-2)⋅(-2)⋅(-2).

(-2)⋅(-2) = +4

Multiply Negative Numbers

So (-2)⋅(-2)⋅(-2)⋅(-2) = (+4)⋅(+4) = 16.

So 16 is the answer.