Power and Product Exponent Rule

Simplify the expression.
x⁴ (x¹²)

• x³

• x⁴⁸

• x¹⁶

• x⁸

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

• add

• subtract

• multiply

• divide

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Which shows the Power Rule used correctly? \left(ab\right)^5

(3⁴)(3⁷)

• 3²⁸

• 3³

• 3^-3

• 3¹¹

(8⁵)³

• 8⁸

• 8¹⁵

• 8²

• 1/8²

Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

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

• multiply

• add

• subtract

• divide

(4x⁵y²)(6x²y³)

• 10x¹⁰y⁶

• 24x⁷y⁵

• 24x¹⁰y⁶

• 10x⁷y⁵