Law of Exponents Power to a Power

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

What is the capital of France?

• Paris

• London

• Berlin

• Madrid

Solve  

• c³⁰
• c¹
• c¹¹

Solve

• h¹⁹

• h⁹⁰

• h^-1

• 1/h¹

Solve

• a^-2

• a²

• 1/a¹

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Solve (hint: there's more than 1 law you must obey)

• a¹⁴b¹⁶

• (a⁷b)(ab⁸⁾

• a¹²b⁴a²b¹²

Solve (hint: there's more than 1 law you must obey)

• 4k⁴

• 4k^-8

• 4 / k⁸

Simplify 5³⋅5⁴

• 5⁷

• 5⁻¹

• 5¹²

• 5