Which choice describes Power of a Product and Power of a Quotient: $$\left(\frac{c^7}{c^2}\right)^2\ \ \ and\ \ \ \ \left(xy^5\right)^4$$

Distribute the outer exponent to both bases.

Keep the base, add the exponents.

Keep the base, subtract the exponents.

Put the base in the denominator with a positive exponent.

What's our "shortcut" for thinking of this property?

It's like "distributing" the power to each part of the top and bottom

We subtract m and n, then multiply by p

Power of Products and Power of Quotients

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Used 1+ times

Power of Products and Power of Quotients

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(2ab)³

8a³b³

8ab³

2a³b³

2ab

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression.

g¹⁰

g²⁵

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Evaluate the expression using the quotient rule.

²²

³⁰

6²²

6³⁰

Tags

CCSS.8.EE.A.1

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Power of Products and Power of Quotients

(2ab)³

Simplify the expression.

Evaluate the expression using the quotient rule.

(2x³y)⁶

When we have the same bases and we're dividing, we (a) the exponents. This is called the (b)

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Power of Products and Power of Quotients

(2ab)3

Simplify the expression.

Evaluate the expression using the quotient rule.

(2x3y)6

When we have the same bases and we're dividing, we ​ (a) the exponents. ​ ​This is called the ​​ (b)

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(2ab)³

(2x³y)⁶

When we have the same bases and we're dividing, we (a) the exponents. This is called the (b)