Power Rules of Exponents

Solve. ( 4 ⋅ 3 ³ ) ²

• 4 ² ⋅ 3 ⁶

• 4 ³ ⋅ 3 ⁵

• 12 ⁶

• 4 ² ⋅ 3 ⁶

What is ( 2 ⁴ ) ⁵ as a single power ?

• 2 ⁹

• 2 ¹

• 2 ⁶

• 2 ²⁰

(8⁵)³

• 8⁸

• 8¹⁵

• 8²

• 1/8²

Simplify the following expression: (3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

Solve. ( 5 ² ) ⁴

• 5 ⁶

• 5 ⁸

• 5 ²

• 5 ⁰

What is the expanded form of ( 10 ² ) ⁴ ?

• (10 ⋅ 10) ⋅ 4

• (10) ⁴

• (10 ⋅ 10) ⋅ (10 ⋅ 10) ⋅ (10 ⋅ 10) ⋅ (10 ⋅ 10)

• 10,000,000

Solve. ( - 3 c ² d ⁴ e ) ³

• 27c ⁵ d ⁷ e ³

• - 27 c ⁶ d ¹² e ³

• - 9cde

• - 9c⁵ d ⁷ e ⁴

True or false. The power of a power states that because there are NOT like base terms ∴ exponents are multiplied together.

• TRUE

• FALSE

Simplify the following expression:

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

(2ab)³

• 8a³b³

• 2ab³

• 6a³b³

• 6ab