Problem Solving with Laws of Exponents

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

• Multiply

• Add

• Divide

• Subtract

According to exponent rules, when we divide the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

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

• add
• subtract
• multiply
• divide

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Simplify
(-7y²)(5y⁴)

• -35y⁶
• -2y⁶
• -35y⁸
• -2y⁸

• 5^-8
• 5²
• 25^-8
• 25²

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

(2ab)³

• 2³a³b³
• 2ab³
• 6a³b³
• 6ab

Simplify the following:
(x²y)⁵

• x⁷y⁵
• x²y⁵
• x¹⁰y⁵
• x⁵y⁵