Power to a Power and Power of a Product Rules

When raising a power to a power, such as (x³)⁵ you will __________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Which of the following expressions is equivalent to (x²)⁵ ?

(5³)⁷

• 5²¹
• 5¹⁰
• 5⁴
• 125²¹

Simplify:
(x³)²

• x⁵
• x
• x⁶
• 3x²

(r⁴)⁶

• 10r
• r¹⁰
• 24r
• r²⁴

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

• (2x)(2x)(2x)
• 2(x)(x)(x)
• 2x + 2x + 2x
• 2x⋅3

Simplify:
(7y⁴)²

• 7y⁶
• 14y⁸
• 14y⁶
• 49y⁸

Simplify:

(6y⁴)²

• 12y⁶

• 6²y⁶

• 6²y⁸

• 12y⁸

Simplify (5xy)⁶

• 30x⁶y⁶

• 5x⁶y⁶

• 30xy⁶

• 5⁶x⁶y⁶

(20b⁹)⁴

• 20b³⁶

• 20⁴b³⁶

• 20⁴b⁹

• 80b⁹