Product Properties of Exponents

Simplify:

• A

• B

• C

• D

(8⁵)³

• 8⁸

• 8¹⁵

• 8²

• 1/8²

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

• multiply

• add

• subtract

• divide

Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify:

(x³y²)²

• x⁶y⁴

• x⁵y⁴

• x³y⁴

• x⁶y²

Simplify
(5p²q³)² (-2pq²)³

• 17p¹²q³⁶

• -200p⁷q¹²

• -200p¹²q³⁶

• 3p⁷q¹²

Simplify
(-3x³y²)² (-2x²)³ (5xy²)⁰

• 360x¹³y⁶

• -72x¹²y⁴

• -17x¹²y⁴

• x¹²y⁴

Simplify:
(6p²q³)(4pq)

• 10p³q⁴

• 24p²q³

• 24p³q⁴

• 10p²q³

(4x⁵y²)(6x²y³)

• 10x¹⁰y⁶

• 24x⁷y⁵

• 24x¹⁰y⁶

• 10x⁷y⁵