Exponent Properties Product Rules

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10

Simplify the expression shown. Your answer should contain only positive exponents.

• -24x⁴y⁶

• 12x⁴y⁵

• -24x⁴y²⁴

• -3x⁴y²

Simplify the expression shown. Your answer should contain only positive exponents.

• 3x²y⁴

• -3xy⁴

• 1/3x³y⁴

• x²y⁴/3

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10

According to exponent rules, when we multiply powers we _______ the exponents.

• add

• subtract

• multiply

• divide

Use the properties of exponents to write the expression as a single power: (8⁸)(8⁶) =

• 8⁴⁸

• 8¹⁴

• 8²

Simplify the expression: r⁶⋅r²⋅r³=

• r⁶⁺²⁺³

• r¹¹

• 11r

Simplify:
(x³)²

• x⁵

• x

• x⁶

• 3x²

(5³)⁷

• 5²¹

• 5¹⁰

• 5⁴

• 125²¹

Which of the following expressions is equivalent to (2x)³ ?

• (2x)(2x)(2x)

• 2(x)(x)(x)

• 2x + 2x + 2x

• 2x⋅3