Free Printable Exponent Properties Practice

1.

Simplify:

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

2.

Simplify:

$(2a^2b^4c)(6a^3b^2c^5)$

a)

$8a^5b^6c^6$

b)

$12a^5b^6c^5$

c)

$12a^5b^6c^6$

d)

$8a^6b^8c^5$

3.

Simplify:

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

4.

Simplify:
(5ab²)²

a)

$5^2a^2b^4$

b)

$10a^2b^4$

c)

$5ab^4$

d)

$5^2ab^4$

5.

Simplify:

(9x²)⁰

a)

9x²

b)

0

c)

1

d)

9

6.

Fill in the blank with the correct exponent to make the statement true.

(3⁴)(3^?) = 3¹⁶

a)

12

b)

8

c)

4

d)

16

7.

Simplify:

(3x⁴y⁵)²

a)

$3^2x^8y^{10}$

b)

$6x^8y^{10}$

c)

$3x^8y^{10}$

d)

$3^2x^6y^7$

8.

Simplify:

(2x³y)⁶

a)

$12x^{18}y^6$

b)

$2^6x^{18}y^6$

c)

$2x^9y^6$

d)

$2x^{18}y^6$

9.

Fill in the blank with the correct exponent to make the statement true.
$\frac{y^?}{y^{-2}}=y^8$

a)

6

b)

10

c)

4

d)

8

10.

Fill in the blank with the correct exponent to make the statement true.

(x⁴)^?= x¹²

a)

3

b)

8

c)

4

d)

6

11.

Fill in the blank with the correct expression to make the statement true.

(2x²y⁴)( ? ) = 6xy⁸

a)

3x^-1y⁴

b)

3x^1/2y²

c)

4x^-1y⁴

d)

4x^1/2y²

12.

$\frac{12x^9y^{-4}z^3}{?}=\frac{2x^{11}z}{y^6}$

Fill in the blank with the correct expression to make the statement true.

a)

$6x^{-2}y^2z^2$

b)

$10x^{-2}y^2z^2$

c)

$6x^2y^{10}z^3$

d)

$10x^2y^{10}z^2$

13.

Which of the following are equal to 1? Select all that apply.

a)

(2x²y)⁰

b)

(3z)⁰+ 4⁰

c)

(3⁰)(4x)⁰

d)

1258⁰ - 43⁰+ (5x^-2)⁰

14.

Simplify:
$\frac{10x^7y^4z^9}{2x^6y^3z^7}$

a)

$5xyz^2$

b)

$8xyz^2$

c)

$5x^2y^2z^3$

d)

$\frac{8z^2}{xy}$

15.

Simplify:
$\frac{x^3y^{-2}z^8}{x^{-4}y^4z^{-3}}$

a)

$\frac{x^7z^{11}}{y^6}$

b)

$\frac{x^7z^{11}}{y^2}$

c)

$\frac{x^{-7}z^{-11}}{y^{-6}}$

d)

$\frac{x^{-1}z^5}{y^6}$

16.

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

a)

$\frac{1}{x^6y^9}$

b)

$\frac{x^{-6}y^3}{y^4}$

c)

$\frac{1}{x^6y}$

d)

$\frac{x^6}{y}$

17.

Simplify:
$\left(3x^2y\right)^2\cdot2x$

a)

$18x^5y^2$

b)

$6x^5y^2$

c)

$6x^4y^2$

d)

$9x^4y$

18.

$\left(3xy^2\right)^0\cdot\left(4x^{-2}y^3\right)^2$

a)

$\frac{16y^6}{x^4}$

b)

$\frac{48y^8}{x^4}$

c)

$16x^4y^5$

d)

$\frac{48y^6}{x^2}$

19.

$\frac{a^8b^3}{?}=a^5b^2$

Fill in the blank with the correct expression to make the statement true.

a)

$a^3b$

b)

$a^3b^2$

c)

$a^{-3}b^{-1}$

d)

$a^5b^{ }$

20.

Simplify.

$\frac{10x^8y^{11}}{2xy^6}$

a)

$5x^7y^5$

b)

$8x^7y^5$

c)

$5x^8y^5$

d)

$8x^8y^5$

Exponent Properties Practice

Total questions: 20

Worksheet time: 42mins

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