Quotient Properties of Exponents

Authored by Peggy Marvin

Mathematics

6th - 8th Grade

CCSS covered

Used 4+ times

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12 questions

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MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\frac{b^{17}}{b^{14}}$

$b^3$

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.A.1

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\frac{16a^{12}}{2a^7}$

$8a^5$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\frac{5c^4}{10c^8}$

$\frac{1}{2c^4}$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\frac{8m^6n^3}{4m^2n^7}$

$\frac{2m^4}{n^4}$

Mathematical Equivalence

OFF

Tags

CCSS.6.EE.A.1

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\frac{3^2k^5m^6}{3^5k^7m^5}$

$\frac{m^1}{27k^2}$

Mathematical Equivalence

Tags

CCSS.8.EE.A.1

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\frac{6m^4n^3y^3}{9m^2n^7y^8}$

$\frac{2m^2}{3n^4y^5}$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\frac{\left(6a^4\right)\left(8b^4\right)}{\left(2a^2\right)\left(36b\right)}$

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

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.A.1

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\left(\frac{3x}{y}\right)^4$

$\frac{81x^4}{y^4}$

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.A.1

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\left(\frac{4a^3}{5b}\right)^2$

$\frac{16a^6}{25b^2}$

Mathematical Equivalence

OFF

10.

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the Expression
Evaluate when Possible
$\left(\frac{6a^5b^4}{2a^2b}\right)^3$

$27a^9b^9$

Mathematical Equivalence

OFF

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Quotient Properties of Exponents

Simplify the ExpressionEvaluate when Possible b17b14\frac{b^{17}}{b^{14}}b14b17​

Simplify the ExpressionEvaluate when Possible 16a122a7\frac{16a^{12}}{2a^7}2a716a12​

Simplify the ExpressionEvaluate when Possible 5c410c8\frac{5c^4}{10c^8}10c85c4​

Simplify the ExpressionEvaluate when Possible 8m6n34m2n7\frac{8m^6n^3}{4m^2n^7}4m2n78m6n3​

Simplify the ExpressionEvaluate when Possible 32k5m635k7m5\frac{3^2k^5m^6}{3^5k^7m^5}35k7m532k5m6​

Simplify the ExpressionEvaluate when Possible 6m4n3y39m2n7y8\frac{6m^4n^3y^3}{9m^2n^7y^8}9m2n7y86m4n3y3​

Simplify the ExpressionEvaluate when Possible (6a4)(8b4)(2a2)(36b)\frac{\left(6a^4\right)\left(8b^4\right)}{\left(2a^2\right)\left(36b\right)}(2a2)(36b)(6a4)(8b4)​

Simplify the ExpressionEvaluate when Possible (3xy)4\left(\frac{3x}{y}\right)^4(y3x​)4

Simplify the ExpressionEvaluate when Possible (4a35b)2\left(\frac{4a^3}{5b}\right)^2(5b4a3​)2

Simplify the ExpressionEvaluate when Possible (6a5b42a2b)3\left(\frac{6a^5b^4}{2a^2b}\right)^3(2a2b6a5b4​)3

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Discover more resources for Mathematics

Simplify the Expression
Evaluate when Possible
$\frac{b^{17}}{b^{14}}$

Simplify the Expression
Evaluate when Possible
$\frac{16a^{12}}{2a^7}$

Simplify the Expression
Evaluate when Possible
$\frac{5c^4}{10c^8}$

Simplify the Expression
Evaluate when Possible
$\frac{8m^6n^3}{4m^2n^7}$

Simplify the Expression
Evaluate when Possible
$\frac{3^2k^5m^6}{3^5k^7m^5}$

Simplify the Expression
Evaluate when Possible
$\frac{6m^4n^3y^3}{9m^2n^7y^8}$

Simplify the Expression
Evaluate when Possible
$\frac{\left(6a^4\right)\left(8b^4\right)}{\left(2a^2\right)\left(36b\right)}$

Simplify the Expression
Evaluate when Possible
$\left(\frac{3x}{y}\right)^4$

Simplify the Expression
Evaluate when Possible
$\left(\frac{4a^3}{5b}\right)^2$

Simplify the Expression
Evaluate when Possible
$\left(\frac{6a^5b^4}{2a^2b}\right)^3$