Power Rules of Exponents

( x ³ ) ⁵ is an example of the "power of a power" rule. This means the exponents 5 and 3 are _______ together.

• added

• subtracted

• multiplied

• divided

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

Solve. ( 5 ² ) ⁴

• 5 ⁶

• 5 ⁸

• 5 ²

• 5 ⁰

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Solve. ( 3 ² m ² n ² ) ⁴

• 12m ⁶ n ⁶

• 3 ⁶ m ⁶ n ⁶

• 3 ⁸ m ⁸ n ⁸

• 13 m ² n ²

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

CCSS.6.EE.A.3

Solve. ( 4 ⋅ 3 ³ ) ²

• 4 ² ⋅ 3 ⁶

• 4 ³ ⋅ 3 ⁵

• 12 ⁶

• 4 ² ⋅ 3 ⁶

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

What is ( 2 ⁴ ) ⁵ as a single power ?

• 2 ⁹

• 2 ¹

• 2 ⁶

• 2 ²⁰

Tags

CCSS.HSN.RN.A.2

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

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

• TRUE

• FALSE

( 10 ³ ) ² = 10,000,000

• TRUE

• FALSE

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.4