Free Printable Monomial Exponent Rules

1.

^simplify 5x³2x²

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

2.

Simplify to an equivalent expression BUT leave in exponent form.
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

3.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

4.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

5.

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

a)

x²

b)

x

c)

1

d)

x⁸

6.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

7.

$\left(\frac{2x^9}{5y^4}\right)^4$

a)

8x³⁶/20y¹⁶

b)

16x¹³/625y⁸

c)

16x^9/4/625y¹

d)

16x³⁶/625y¹⁶

8.

15y² . (2y)³

a)

120y⁵

b)

120y⁶

c)

30y⁵

d)

30y⁶

9.

$\left(\frac{-8p^{10}}{7r^3}\right)^{^2}$

a)

-64p²⁰/ 49r⁶

b)

64p²⁰/ 49r⁶

c)

-8p²⁰/ 14r⁶

d)

-64p¹²/ 49r⁵

10.

Simplify using your exponent rule(s) (2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

11.

$3^7\cdot3^7$

a)

$9^{49}$

b)

$3^{14}$

c)

$3^{49}$

d)

$9^{14}$

12.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

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

d)

$16a^5b^5c^6$

13.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

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

b)

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

c)

$\frac{12y^3}{2x^4}$

d)

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

14.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

15.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

16.

Simplify: $\left(-x^3\right)\left(-5x\right)$

a)

$5x^4$

b)

$-5x^4$

c)

$5x^3$

d)

$-5x^3$

17.

Simplify: $\frac{k^3}{5k}$

a)

$5k^2$

b)

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

c)

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

d)

$\frac{k^4}{5}$

18.

Simplify: $\left(\frac{4}{2d^2}\right)^3$

a)

$\frac{2}{d^2}$

b)

$\frac{8}{d^6}$

c)

$\frac{8}{2d^2}$

d)

$\frac{64}{2d^2}$

19.

-20x⁶ + (-10x⁶)

a)

10x¹²

b)

-30x⁶

c)

-10x⁶

d)

-30x¹²

20.

Find the sum of 16y² and -5y².

a)

-11y²

b)

21y²

c)

11y²

d)

16y² - 5y²

21.

2x² + 3y - 2x + 5y + 2x

a)

2x² + 8y

b)

2x + 8y

c)

2x + 5y

d)

2x² + 4x + 8y

22.

2ab + 9ac

a)

11a²bc

b)

2ab + 9ac

c)

11abc

d)

18a²bc

23.

(7a)(3ab) – 4a²b

a)

21a²b

b)

17a⁴b²

c)

17a²b

d)

21ab

24.

(2y²)(4xy³) + (3xy⁴)(5y)

a)

8xy⁵

b)

23xy⁵

c)

23x²y¹⁰

d)

11xy⁴

25.

(2xy)(-4x²) + (6x)(6x²y)

a)

28x³y

b)

44x³y

c)

28x⁶y²

d)

44x⁶y²

26.

(2ab²)(4a²b³) – (2a³b)(6b⁴)

a)

-4a⁶b¹⁰

b)

4a⁶b¹⁰

c)

4a³b⁵

d)

-4a³b⁵

27.

Simplify the following monomials: $16ab^3-43ab^3$

a)

$59ab^3$

b)

$-27ab^3$

c)

$-27a^2b^6$

d)

$-59ab^3$

28.

Subtract -2x from -8x

a)

$-10x$

b)

$10x$

c)

$6x$

d)

$-6x$

29.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

Monomial Exponent Rules

Total questions: 29

Worksheet time: 2hrs 25mins

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