Laws of Exponents Power of a Product Rule

• y¹⁵
• y⁵⁰
• y²
• y⁵

According to exponent rules, when we multiply the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Solve using the product law of exponents

(5⁵)(5³)

• 25⁸

• 5¹⁵

• 25¹⁵

• 5⁸

Simplify the expression.
x⁴ (x¹²)

• x³

• x⁴⁸

• x¹⁶

• x⁸

Simplify the following expression:

3x⁴ ⋅ 6x⁶

• 18x¹⁰

• 9x¹⁰

• 18x²⁴

• 9x²⁴

Simplify
6ab² (-a²b)²

• -6a⁵b⁴

• 5a³b³

• 12a⁵b³

• 6a⁵b⁴

According to the product rule, when we multiply like bases we keep the base and ___________ the exponents.

• Multiply

• Add

• Divide

• Subtract

Simplify
(3x)² (-2xy²) (-3y³)³

• -219x³y¹¹

• 219x²y¹⁸

• -486x²y¹¹

• 486x³y¹¹

Simplify
(-3x³)³

• -27x⁹

• -9x⁶

• -9x⁹

• -27x⁶

Simplify
(-5x²y²) (-3x⁴y)

• 15x⁶y³

• -15x⁸y²

• 15x⁸y³

• -8x⁶y³