Quotient of Powers

According to exponent rules, when we divide two powers with the same base we _______ the exponents.

Example: 6⁸ / 6³

• add

• subtract

• multiply

• divide

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Evaluate the expression using the quotient rule.

• 3⁴

• 3^-4

• 3^-12

• 3³²

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

Evaluate using the quotient rule: 

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

Simplify. Express using exponents.

• 12x⁶y⁴

• 12x¹⁰y⁶

• 22x¹⁰y⁶

• 12x⁶y⁶

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Simplify:

• 4p³

• 3p³

• 1/3p⁴

• 3p⁴

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

CCSS.HSA.APR.A.1

x⁶y⁹ ÷ x²y⁵

• x⁸y¹⁴

• x^-4y^-4

• x⁴y⁴

• x^-8y^-14

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

CCSS.HSA.APR.A.1

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify and then evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 4/z⁷

• 2¹⁴/ z⁷
• 4z⁷

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6