Product to a Power

Simplify (x¹⁴)³

• x¹⁷

• x⁴²

• x¹¹

• 3x¹⁴

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add

• subtract

• multiply

• divide

Simplify:
(x³)²

• x⁵

• x

• x⁶

• 3x²

Simplify: (3x²)³

• 27x⁶

• 9x⁶

• 3x⁶

• 9x⁵

(2x⁷)³

• 6x²¹

• 8x²¹

• 6x¹⁰

• 8x¹⁰

(4p³q⁶)⁴

• 4p¹²q²⁴

• 256p⁷q¹⁰

• 256p¹²q²⁴

• 4p⁷q¹⁰

True or False - Is this solved correctly

(2n² ⋅ 2n³)²

(4n⁵)²

4²n¹⁰

16n¹⁰

• True

• False

(y⁷⋅ 7y)³

• 8³y²¹ = 512y²⁴

• 0

• 7³y²⁴ = 343y²⁴

• 7³y²¹ = 343y²¹

Reorder the following steps for this equation: (4x⁵ ⋅ 2x²y)³

• Multiply

  4 ⋅ 2

• Add

  x⁵ ⋅ x²

  Bring down the y

• Multiply the outside exponent with everything on the inside

  (8¹ x⁷y¹)³ = 8³x²⁷y³

• Simplify the coefficient

  8 ⋅ 8 ⋅ 8

• Final answer

  512x²⁷y³

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

• (9²)(9¹) = 9³

• (9²)(9¹) = 9¹

• (9²)(9¹) = 9²