Properties of Exponent Rules Challenge

Evaluate the expression using the quotient of power rule.

• 1
• g¹⁰
• g²⁵
• g

• a
• b
• c
• d

Evaluate this expression using the quotient of powers rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Evaluate the expression using the quotient of powers rule.

• ²²

• ³⁰

• 6²²

• 6³⁰

• 5¹⁶

• 5¹²

• 5⁴

• 5⁷

The amount of bacteria in an infection n hours after taking medication is (1/x³)ⁿ .      
Write a simplified expression that represents the amount of bacteria in an infection 4 hours after taking medication.

•  (1/x³)⁴

•  (1/x³)^-4

•  (1/x⁷)

•  (1/x³)⁴ = (1⁴) / (x^{3 times4}) = 1/x¹²

Evaluate the expression using the quotient of powers rule.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

• a⁸b⁷

Evaluate the expression using the quotient rule.

• x¹³

• x⁵

• x³⁶

• x^-5

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

• add

• subtract

• multiply

• divide