Simplifying Expressions Using Laws of Exponents

(n⁵ / n²)³

• n¹⁰

• n⁹

• n¹¹

• n⁸

Simplify the expression.
(2mp)³

• 2mp³

• 2m³p³

• 6m³p³

• 8m³p³

(-2b⁶)² is equal to?

• -4b⁶

• 4b⁸

• 4b¹²

• -4b¹²

Answer explanation

Use Power of a Power Law of Exponents

When simplifying a power raised to a power, ________ the exponents.

(2x⁴y⁵)(-3x²y⁷)

• 6x⁶y¹²

• -1x⁶y^-2

• -6x²y²

• -6x⁶y¹²

When multiplying like bases, you _____________ exponents.

• add

• subtract

• divide

• multiply

Simplify.

• 
• 
• 
• 

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

Simplify

(2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

(5x²)⁰(9x)²

• 45x⁴

• 81x

• 81x²

• 0