Free Printable Quotient Property of Exponents

1.

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

a)

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

b)

$x^2$

c)

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

d)

$x^8$

2.

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

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

3.

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

a)

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

b)

$a^3b$

c)

$a^9b^3$

d)

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

4.

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

a)

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

b)

$5x^2$

c)

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

d)

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

5.

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

a)

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

b)

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

c)

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

d)

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

6.

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?

a)

Numerator (top)

b)

Denominator (bottom)

c)

Where the bigger exponent is located.

d)

It doesn't matter.

7.

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

a)

$x^2$

b)

$x^2y$

c)

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

d)

$x^4y^{20}$

8.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

9.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

10.

a)

-6c⁵

b)

-6c

c)

6c

d)

-6c⁶

11.

Simplify.

a)

A

b)

B

c)

C

d)

D

12.

Simplify. Your answer should only contain positive exponents.

a)

A

b)

B

c)

C

d)

D

Quotient Property of Exponents

Total questions: 12

Worksheet time: 3600secs

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