Free Printable Index Laws Quiz

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Worksheets

Index Laws Quiz

Total questions: 36

Worksheet time: 18mins

Name

Class

Date

1.

Simplify the expression $x^{-3}$ .

a)

$\frac{1}{3x}$

b)

$\frac{1}{x^3}$

2.

What is the result of $(x^3)(x^4)$ ?

a)

$x$

b)

$x^7$

3.

Simplify the expression $\frac{x^5}{x^2}$ .

a)

$x^{10}$

b)

$x^3$

4.

What is the value of $x^0$ for any non-zero $x$ ?

a)

$1$

b)

$x$

5.

Simplify the expression $(x^3)^4$ .

a)

$x^{12}$

b)

$x^{3/4}$

6.

Simplify the expression $(2x^3)^2$ .

a)

$4x^6$

b)

$2x^6$

7.

What is the simplified form of $x^{-2}y^{-3}$ ?

a)

$\frac{1}{x^2y^3}$

b)

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

8.

Simplify the expression $\frac{x^4}{x^{-3}}$ .

a)

$x$

b)

$x^7$

9.

What is the result of $(xy)^3$ ?

a)

$x^3y^3$

b)

$x^3 + y^3$

10.

Simplify the expression $(2x^2y)^3$ .

a)

$8x^6y^3$

b)

$6x^5y^3$

11.

What is the result of $(3x)^2$ ?

a)

$3x^2$

b)

$9x^2$

12.

Simplify $\frac{2x^3y^2}{4xy}$ .

a)

$2x^2y$

b)

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

13.

What is the simplified form of $(3x^2)^3$ ?

a)

$27x^6$

b)

$27x^5$

14.

Simplify the expression $\frac{3x^4}{9x^2}$ .

a)

$x^2$

b)

$3x^2$

15.

What is the result of $(x^2y)^2$ ?

a)

$x^2y^2$

b)

$x^4y^4$

16.

Simplify the expression $(3x^3y)^2$ .

a)

$9x^5y^2$

b)

$9x^6y^2$

17.

What is the simplified form of $\frac{4x^2}{2x}$ ?

a)

$2x^2$

b)

$2x$

18.

What is the result of $(2xy)^4$ ?

a)

$16xy$

b)

$16x^4y^4$

19.

What is the result of $(5x^3)^2$ ?

a)

$25x^6$

b)

$10x^3$

20.

Simplify the expression $\frac{8x^5}{2x^2}$ .

a)

$x^3$

b)

$4x^3$

21.

What is the simplified form of $(2x^2y^3)^3$ ?

a)

$2x^6y^9$

b)

$8x^6y^9$

22.

What is the simplified form of $(4x^3)^2$ ?

a)

$16x^6$

b)

$16x^5$

23.

Simplify the expression $\frac{x^6}{x^3}$ .

a)

$x^9$

b)

$x^3$

24.

What is the result of $(2x^2)^3$ ?

a)

$8x^6$

b)

$8x^5$

25.

Simplify the expression $\frac{5x^7}{x^2}$ .

a)

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

b)

$5x^5$

26.

What is the result of $(3x^2y)^3$ ?

a)

$9x^6y^3$

b)

$27x^6y^3$

27.

What is the simplified form of $x^4 \cdot x^{-1}$ ?

a)

$x^3$

b)

$x^5$

28.

What is the result of $(4x^3)^2$ ?

a)

$16x^6$

b)

$16x^5$

29.

Simplify the expression $\frac{2x^8}{x^3}$ .

a)

$2x^5$

b)

$2x^{11}$

30.

What is the simplified form of $x^3 \cdot x^2$ ?

a)

$x^5$

b)

$x^6$

31.

What is the result of $(4x^3)^2$ ?

a)

$8x^6$

b)

$16x^6$

32.

Simplify the expression $\frac{3x^4}{x^2}$ .

a)

$x^2$

b)

$3x^2$

33.

What is the simplified form of $(x^2y^2)^3$ ?

a)

$x^6y^3$

b)

$x^6y^6$

34.

What is the result of $(5x^3y)^2$ ?

a)

$25x^6y^2$

b)

$10x^3y^2$

35.

Simplify the expression $\frac{9x^9}{3x^3}$ .

a)

$3x^6$

b)

$3x^3$

36.

What is the simplified form of $(3x^2y^2)^4$ ?

a)

$81x^8y^8$

b)

$81x^6y^6$

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