Free Printable 8.1-8.4 Review

1.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

2.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

3.

a)

b)

c)

d)

4.

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

5.

a)

b)

c)

d)

6.

a)

b)

c)

d)

7.

Write with positive exponents:

1/a^-2

a)

a^-2

b)

a²

c)

1/a¹

8.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

9.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

10.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

11.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

12.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

13.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

14.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

15.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

3x²y⁴

b)

-3xy⁴

c)

1/3x³y⁴

d)

x²y⁴/3

16.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

-a¹²b¹²

b)

-a⁷b⁷

c)

a⁷b⁷

d)

a¹²b¹²

17.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

x²

b)

-2x²

c)

1/x²

d)

2/x²

18.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

19.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

20.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

21.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

22.

Which expression is equilvalent to $\frac{1}{25}$

a)

$5^{-2}$

b)

$5^2$

c)

$25^{-2}$

23.

8 x 8 x 8 x 8 x 8

a)

8⁵

b)

8⁸

c)

8 x 8 x 8 x 8 x 8

d)

8

24.

$6^5\times\left(6^{-2}\right)^3$

a)

$6^1$

b)

$6^6$

c)

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

d)

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

25.

$3^0\times3^3$

a)

1

b)

$3^3$

c)

$3^4$

d)

3

26.

When dividing powers of the same base, such as $\frac{2^5}{2^2}$ , you will _____________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

27.

When raising a power to a power, such as (6³)⁵ you will __________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

28.

$\frac{\left(4^7\cdot4^3\right)^4}{4^5}$

a)

$4^9$

b)

$4^8$

c)

$4^{35}$

d)

$4^{14}$

29.

(9 + 39) ÷ (11 - 5) =

a)

17

b)

14

c)

9

d)

8

30.

2 + (9²- 4)

a)

16

b)

77

c)

79

d)

154

31.

(3 + 3)²

a)

15

b)

12

c)

16

d)

36

32.

Use order of operations to evaluate this numerical expression.

(a)

33.

Evaluate the expression using the correct order of operations.

$48\div2^2\times3+12$

a)

72

b)

720

c)

36

d)

48

34.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

35.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

8.1-8.4 Review

Total questions: 35

Worksheet time: 3hrs 55mins

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