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## Exponentiating Exponents

#### Introduction

What do we do when the power (exponent) has a power? We simply multiply the exponents together.#### Terms

**Exponent**- The number of times to multiply the base.

**Base**- The number being multiplied.

## Lesson

We could look at it like this: if we are given , in words that means '2 to the third power, squared'. So if we multiply the exponents together, we get or 64 (evaluated).

Here is another example worked out:

## Examples

#### Exponentiating Exponents (Example #1)

Calculate

When you have an exponent expression raised to a power, you have to multiply the two exponents

#### Exponentiating Exponents (Example #2)

Calculate

When you have an exponent expression raised to a power, you have to multiply the two exponents

#### Exponentiating Exponents (Example #3)

Calculate

When you have an exponent expression raised to a power, you have to multiply the two exponents

#### Exponentiating Exponents (Example #4)

Calculate

When you have an exponent expression raised to a power, you have to multiply the two exponents