Laws of Exponents: Raising Monomials to a Power

Question Group #1

Directions and/or Common Information: Simplify the following expressions.

(x²)³

(3x²)³

-5²

(–5)²

(–3x³)²

(x⁵y⁶)⁴

(2x⁷y³)⁴

(5a³b⁴)³(2a⁵b)⁴

(– 3a⁴bc²)⁴(

ab³c)⁵

(

m⁶n⁵)⁴(– 4m³n²)³

10.

Question Group #2

Directions and/or Common Information: True or False? If the answer is false, give the correct answer.

(2xy)³ = 6x³y³

(m²n)³ = m⁶n

(–3a²b³)³ = –27a⁶b⁹

Question Group #3

Directions and/or Common Information: Solve for x.

(3^x)² = 3^{x + 1}

(5^2x)³ = (5^x)³(5^{x + 8})