Finding the Power of a Product

Simplify:
(x³)²

• x⁵

• x

• x⁶

• 3x²

Use the properties of exponents to write the expression as a single power: (5⁶)(5⁶) =

• 5¹²

• 5³⁶

• 5⁰

Which option follows the product of a power rule for exponents with the same base?

• (9²)(9¹) = 9³

• (9²)(9¹) = 9¹

• (9²)(9¹) = 9²

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

(2ab)³

• 8a³b³

• 8ab³

• 2a³b³

• 2ab

Simplify:

(x³y²)²

• x⁶y⁴

• x⁵y⁴

• x³y⁴

• x⁶y²

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

(4x)³

• 7x³

• 64x³

• 12x³

• 16x³

Simplify the expression: (2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify the expression. 
(6x²)(-3x⁵)

Mathematical Equivalence

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