Powers With Like Bases

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

Evaluate this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

18h¹⁰÷ 6h⁸ 

• 3h¹⁸

• 3h⁸⁰

• 2h²

• 3h²

Evaluate the expression using the quotient rule.

• ²²

• ³⁰

• 6²²

• 6³⁰

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Simplify.

• y⁶⁰

• ¹/_y¹⁶

• y^-16

• y⁴

When using the "Quotient of Powers" rule, you can only subtract when the ____________ are the same.

• cookies

• ages

• exponents

• bases

What two numbers could replace the question marks to show two equivalent expressions?
x⁷ = x^?/x^?

• 5 and 2

• 12 and 5

• 5 and 4

• 4 and 3

x⁵/x^? = x²

• x¹

• x²

• x³

Rule: Multiply powers with the same base, ______ the base and __________ the exponent

• Add, Keep

• Subtract, Keep

• Keep, Subtract

• Keep, Add