Roots and Powers

Simplify 4√75

• 4√5

• 12√5

• 20√3

• 7√3

√96

• 16√6

• 6√16

• 9√6

• 4√6

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

• multiply

• add

• subtract

• divide

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

Rewrite the following using exponents.

• 4^4/3

• 4^3/4

• 2^4/3

• 2^3/4