Law Exponents

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

• (2x)(2x)(2x)

• 2(x)(x)(x)

• 2x + 2x + 2x

• 2x⋅3

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

• 10x⁹
• 24x¹⁴
• 24x⁹
• 10x¹⁴

• -35y⁶
• -35y⁵
• -2y⁶
• -2y⁵

Solve using the product law of exponents

(5⁵)(5³)

• 25⁸

• 5¹⁵

• 25¹⁵

• 5⁸

Use the product law to solve.

(7^-17)(7^-24)

• 7 ^-7

• 49⁶⁹⁷

• 7 ^-41

• 49 ^-41

According to the product rule, when we multiply powers with the same base, we keep the base and _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

In order to multiply powers with the same base, we add their exponents. 

• True 

• False