Combining Laws of Exponents

(y⁹)^-2

• y¹⁸
• y¹¹
• 1/y¹⁸
• y⁹/2

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

(2ab)³

• 2³a³b³
• 2ab³
• 6a³b³
• 6ab

(7uv²)^-5

• -35uv^-10
• -5/7uv²
• 1/7⁵u⁵v¹⁰
• 1/7uv¹⁰

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

(ab⁸c)(a^-17c¹⁰)

• a¹⁷b⁸c¹¹
• a¹⁶b⁸c¹¹
• (b⁸c¹¹)/(a¹⁶)
• a^-17b⁸c¹⁰

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

• Multiply
• Add
• Divide
• Subtract

Simplify (7a²)(5a⁶b)²

• 35a¹⁴b²
• 175a¹²b²
• 175a¹⁴b²
• 35a¹⁴b

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

• add
• subtract
• multiply
• divide