Properties of Powers

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 (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Simplify (7a²)(5a⁶b)²

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

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

• add
• subtract
• multiply
• divide

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

• Multiply
• Add
• Divide
• Subtract

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

• add
• subtract
• multiply
• divide

Simplify the following:
(x²y)⁵

• x⁷y⁵
• x²y⁵
• x¹⁰y⁵
• x⁵y⁵

• 9^-4
• 9^-45
• 3^-4
• 3^-45