Free Printable Unit 6: Exponent Rules Pre Assessment

1.

1) Simplify the expression $\frac{3^5}{3^2}$ .

4 lines

2.

Simplify the expression $(4^2)^4$ .

a)

256

b)

65536

c)

4096

d)

1024

3.

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

a)

$x^{-4}$

b)

$x^4$

c)

$\frac{1}{x^4}$

d)

$-x^4$

4.

4) Simplify the expression $5^6 \cdot 5^4$ .

a)

$5^{10}$

b)

$5^{24}$

c)

$5^{2}$

d)

$5^{8}$

5.

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

a)

$\frac{1}{128}$

b)

$\frac{1}{256}$

c)

$\frac{1}{64}$

d)

$\frac{1}{32}$

6.

6) Simplify the expression $6^0$ .

a)

1

b)

0

c)

6

d)

36

7.

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

a)

Simplified expression is $3^{2x - x}$ = $3^x$ .

b)

Simplified expression is $3^{x - 2x}$ = $3^{-x}$ .

c)

Simplified expression is $3^{x + x}$ = $3^{2x}$ .

d)

Simplified expression is $3^{x} = 3^{x}$ .

8.

8) Simplify the expression $3^2 \cdot 3^3$ .

a)

$3^5$

b)

$3^6$

c)

$3^8$

d)

$3^9$

9.

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

a)

$8^3$

b)

$2^9$

c)

64

d)

512

10.

10) Simplify the expression $x^3 \cdot x^5$ .

a)

$x^8$

b)

$x^{15}$

c)

$x^2$

d)

$x^5$

11.

11) Simplify the expression $\frac{3x^7}{2x^3}$ .

a)

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

b)

$\frac{3x^{10}}{2}$

c)

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

d)

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

12.

12) Simplify the expression $(6x^2)^5$ .

a)

$7776x^{10}$

b)

$6x^{10}$ .

c)

$36x^7$

d)

$1296x^5$

13.

13) Simplify the expression $\frac{a^3}{a^2}$ .

a)

a

b)

$a^2$

c)

$a^3$

d)

1

14.

14) Simplify the expression $2x^{-2}$ .

a)

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

b)

$2x^2$

c)

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

d)

$x^2/2$

15.

15) Simplify the expression $1^0$ .

a)

1

b)

0

c)

10

d)

None of the above

16.

16) Simplify the expression $2^3 \cdot 2^2$ .

a)

$2^5$

b)

$2^6$

c)

$2^7$

d)

$2^8$

17.

17) Simplify the expression $(2^1)^2$ .

a)

1

b)

2

c)

4

d)

8

18.

Simplify the expression $4^1 \cdot x^5$ .

a)

Simplified expression is 4 * x^5.

b)

Simplified expression is $4^5 * x$ .

c)

Simplified expression is 4 * x^4.

d)

Simplified expression is $4^1 * x^1$ .

Unit 6: Exponent Rules Pre Assessment

Total questions: 18

Worksheet time: 12mins

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