Power of Power Exponent Rule

Find the missing exponent:
5y² . (2y³)^x = 80y¹⁴

• x = 9

• x = 4

• x = 3

• x = 2

Rewrite using positive exponents

• 2⁴

• 1/2⁴

• 4²

• 1/4²

True or False?

• True

• False

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

(2⁸)²

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴

8² x 8¹⁰

• 8¹²

• 8²⁰

• 1

• 8⁸

According to exponent rules, when we raise the power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

(5²)³

• 5⁶

• 5⁵

• 5⁷

• 5⁸

(4⋅7³)⁵

• 4⁵⋅7⁸

• 4⁵⋅7¹⁵

• 4⋅7⁸

• 4⋅7¹⁵

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴