7.2 Division Properties of Exponents

Authored by Cheryl Evans

Mathematics

9th - 10th Grade

CCSS covered

Used 61+ times

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10 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

x¹¹

x¹⁸

x^-7

x⁷

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

3x^-1y^-5

3x²y

3xy⁵

-3x³y⁷

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Evaluate the expression using the quotient of powers rule.

a⁸b¹³

a²b⁷

a¹⁵b³⁰

a⁸b⁷

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

4x⁸

9x²

4x²

9x¹⁵

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing and the bases are the same __________ the exponents.

Multiply

Divide

Add

Subtract

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify $\frac{2x^2}{4x^3y^3}$

$2xy^3$

$\frac{1}{2xy^3}$

$\frac{x}{2y^3}$

$\frac{8}{xy^3}$

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\left(\frac{2ab}{a^2b^3}\right)^2$
Simplify

$4a^6b^8$

$\frac{4}{a^2b^3}$

$\frac{2}{a^2b^4}$

$\frac{4}{a^2b^4}$

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\left(\frac{xy^4}{2x^2y^2}\right)^4$
Simplify

$\frac{y^8}{8x^4}$

$\frac{y^8}{16x^4}$

$\frac{y^2}{16x^4}$

$\frac{y^2}{8x^4}$

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\frac{\left(2x^4y^4\right)\left(2x^3y\right)}{3y^2}$
Simplify

$\frac{4x^7y^3}{3}$

$\frac{4x^7}{3y^3}$

$12x^7y^3$

$4x^{12}y^2$

Tags

CCSS.HSN.RN.A.2

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\frac{\left(2x^5y^5\right)^5}{x^5}$
Simplify

$2x^{20}y^{25}$

$2x^5y^{25}$

$32x^{20}y^{25}$

$32x^5y^{25}$

Tags

CCSS.8.EE.A.1

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7.2 Division Properties of Exponents

Evaluate the expression using the quotient of powers rule.

When dividing and the bases are the same __________ the exponents.

Simplify 2x24x3y3\frac{2x^2}{4x^3y^3}4x3y32x2​

(2aba2b3)2\left(\frac{2ab}{a^2b^3}\right)^2(a2b32ab​)2 Simplify

(xy42x2y2)4\left(\frac{xy^4}{2x^2y^2}\right)^4(2x2y2xy4​)4 Simplify

(2x4y4)(2x3y)3y2\frac{\left(2x^4y^4\right)\left(2x^3y\right)}{3y^2}3y2(2x4y4)(2x3y)​ Simplify

(2x5y5)5x5\frac{\left(2x^5y^5\right)^5}{x^5}x5(2x5y5)5​ Simplify

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Simplify $\frac{2x^2}{4x^3y^3}$

$\left(\frac{2ab}{a^2b^3}\right)^2$
Simplify

$\left(\frac{xy^4}{2x^2y^2}\right)^4$
Simplify

$\frac{\left(2x^4y^4\right)\left(2x^3y\right)}{3y^2}$
Simplify

$\frac{\left(2x^5y^5\right)^5}{x^5}$
Simplify