Quotient Property of Exponents

Authored by Dominic Vescovi

Mathematics

8th - 10th Grade

CCSS covered

Used 167+ times

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify $\frac{x^3}{x^5}$ .

$\frac{1}{x^8}$

$x^2$

$\frac{1}{x^2}$

$x^8$

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

MULTIPLE SELECT QUESTION

30 sec • 1 pt

When simplifying $\frac{x^5}{x^2}$ what operation do you perform with the exponents?

Addition

Subtraction

Multiplication

Division

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Can $\frac{a^2}{b^5}$ be simplified?

Yes

Ask my teacher, I don't know.

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Can $\frac{b^5}{b^2}$ be simplified?

Yes.

No.

I don't know, ask my teacher.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify $\frac{a^3b}{a^6b^2}$ .

$\frac{1}{a^3b}$

$a^3b$

$a^9b^3$

$\frac{1}{a^9b^3}$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify $\frac{10x^4}{15x^2}$ .

$\frac{x^2}{5}$

$5x^2$

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

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

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify $\frac{-6x^{ }}{-8x^5}$ .

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

$\frac{6}{8x^4}$

$-\frac{3}{4x^4}$

$-\frac{6}{8x^4}$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When simplifying a quotient with the same bases, such as $\frac{x^5}{x^9}$ or $\frac{x^5}{x}$ , you subtract the exponents.

Where will the resulting power go?

Numerator (top)

Denominator (bottom)

Where the bigger exponent is located.

It doesn't matter.

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{x^3y^{10}}{xy^{10}}$ Simplify

$x^2$

$x^2y$

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

$x^4y^{20}$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

10.

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

$5^0=$

(a)

Tags

CCSS.8.EE.A.1

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Quotient Property of Exponents

Simplify x3x5\frac{x^3}{x^5}x5x3​ .

When simplifying x5x2\frac{x^5}{x^2}x2x5​ what operation do you perform with the exponents?

Can a2b5\frac{a^2}{b^5}b5a2​ be simplified?

Can b5b2\frac{b^5}{b^2}b2b5​ be simplified?

Simplify a3ba6b2\frac{a^3b}{a^6b^2}a6b2a3b​ .

Simplify 10x415x2\frac{10x^4}{15x^2}15x210x4​ .

Simplify −6x−8x5\frac{-6x^{ }}{-8x^5}−8x5−6x​ .

When simplifying a quotient with the same bases, such as x5x9\frac{x^5}{x^9}x9x5​ or x5x\frac{x^5}{x}xx5​ , you subtract the exponents. Where will the resulting power go?

x3y10xy10\frac{x^3y^{10}}{xy^{10}}xy10x3y10​ Simplify

50=5^0=50= (a)

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Simplify $\frac{x^3}{x^5}$ .

When simplifying $\frac{x^5}{x^2}$ what operation do you perform with the exponents?

Can $\frac{a^2}{b^5}$ be simplified?

Can $\frac{b^5}{b^2}$ be simplified?

Simplify $\frac{a^3b}{a^6b^2}$ .

Simplify $\frac{10x^4}{15x^2}$ .

Simplify $\frac{-6x^{ }}{-8x^5}$ .

When simplifying a quotient with the same bases, such as $\frac{x^5}{x^9}$ or $\frac{x^5}{x}$ , you subtract the exponents.

Where will the resulting power go?

$\frac{x^3y^{10}}{xy^{10}}$ Simplify

$5^0=$

(a)