Laws of Exponents: Product & Quotient Rules

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 (c⁵)(c³)(c³)

• c⁴⁵
• 3c¹¹
• c¹¹
• 3c⁴⁵

Simplify:
(x³y²)(xy⁴)

• x³y⁸
• x⁴y⁶
• x³y⁶
• x⁴y⁸

^simplify (5x³ )(2x²)

• 10x⁵
• 3x
• 10x⁶
• 7x⁵

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Quotient Rule states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

• y¹⁵
• y⁵⁰
• y²
• y⁵

• x²
• x³
• x
• x⁵