# Power

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

## Formula

### Formula

a^{m} means multiply a m times.

[a] is the base.

[m] is the exponent.

How to read a^{m}:

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 3^{2} is 2.

If the exponent of a power is 2, it has a special name: square.

So 3^{2} is read as [3 squared].

### Solution

3^{2} means multiply 3 2 times.

So 3^{2} = 3⋅3.

3⋅3 = 9.

So 9 is the answer.

## Example 2

### Example

The exponent of 2^{3} is 3.

If the exponent of a power is 3, it also has a special name: cube.

So 2^{3} is read as [2 cubed].

### Solution

2^{3} means multiply 2 3 times.

So 2^{3} = 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.