Free Printable Chapter 7 Mid Chapter Quiz

1.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

2.

According to exponent rules, when we multiply two numbers with the same base we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

3.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

4.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

5.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

6.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

7.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

8.

3⁻⁴

a)

1 ⁄ 3⁴

b)

-3⁴

c)

3⁴

d)

1 ⁄ 12

9.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

10.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

11.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

12.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

13.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

14.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

15.

Write $7^5$ as repeated multiplication

a)

7 x 2

b)

7x 7 x 7 x 7 x 7

c)

526

d)

35

16.

$10^2$ Identify the base

a)

10

b)

2

17.

$10^2$ Identify the exponent

a)

10

b)

2

18.

Write the equation using exponents

3 X 3 X 3

a)

3¹

b)

3³

c)

3²

19.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

20.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

21.

[ (12x³y⁵z⁷)/ (144x^-4 y⁷z^-3)]⁰

a)

12(x⁷z¹⁰)

b)

1

c)

(x⁷z¹⁰)/12y²

d)

(x⁷y^-2z¹⁰)/12

22.

a)

2x/y⁹

b)

3y²³/4

c)

3y²³/4x

d)

3x²³/y⁴

23.

a)

x^-7

b)

x⁷

c)

1/x⁷

d)

x^-9

24.

Which two exponent rules do you need to use to simplify this expression?

a)

Product Rule and Quotient Rule

b)

Power Rule and Product Rule

c)

Power Rule and Negative Exponent Rule

d)

Zero Rule and Power Rule

25.

(7pq)⁶

a)

$7^6\cdot\ p^6\ \cdot q^6$

b)

$7pq^6$

c)

42pq

26.

$\frac{8^5}{8^2}$

a)

$8^3$

b)

$8^7$

c)

$8^{10}$

27.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

28.

Simplify the exponential expression.

a)

8x⁴

b)

15x²

c)

15x⁴

d)

225x⁴

29.

Simplify the exponential expression.

a)

28x³

b)

28x¹¹

c)

11x¹¹

d)

11x³

30.

Simplify the exponential expression.

a)

m⁶⁵

b)

m¹¹

c)

m³⁰

d)

m⁷⁷⁷⁶

31.

Simplify the exponential expression.

a)

x⁹

b)

x⁴⁹

c)

x²

d)

x¹⁴

32.

Simplify the exponential expression.

a)

a⁶b¹⁵

b)

a¹⁸b

c)

a¹⁸b⁸

d)

a⁶b³

33.

Solve (hint: there's more than 1 law you must obey)

a)

x²⁸y¹² / x²y

b)

x²⁸y¹² / x⁸y⁴

c)

x²⁰y⁸

34.

Solve (hint: there's more than 1 law you must obey)

a)

4k⁴

b)

4k^-8

c)

4 / k⁸

35.

a)

2x/y⁹

b)

3y²³/4

c)

3y²³/4x

d)

3x²³/y⁴

36.

Simplify $\frac{5x^3}{2x^{-6}}$

a)

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

b)

$x^9$

c)

$\frac{5x^9}{2}$

d)

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

37.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

38.

Evaluate $5n^{-4}\cdot2n^6$

a)

$\frac{18}{n}$

b)

$\frac{12}{n^9}$

c)

$18n^7$

d)

$10n^2$

39.

Evaluate $x^3\cdot2x^{-6}$

a)

$24x^3$

b)

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

c)

$\frac{15}{x^3}$

d)

$6x^3$

40.

Simplify $\frac{5r^6}{4r^3}$

a)

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

b)

$\frac{3r}{2}$

c)

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

d)

$\frac{5r^3}{4}$

41.

Write using a rational exponent: $\sqrt[]{x^{11}}$

a)

$x^{\frac{11}{2}}$

b)

$x^{11}$

c)

$x^9$

d)

$x^{10}$

42.

Evaluate without a calculator.

a)

A

b)

B

c)

C

d)

D

43.

Write using a radical: $x^{\frac{1}{10}}$

a)

$\sqrt[10]{x^{ }}$

b)

$\sqrt[]{x^{10}}$

c)

$\sqrt[]{x^{\frac{1}{10}}}$

d)

$x^{10}$

44.

Write using a radical: $x^{\frac{13}{7}}$

a)

$\sqrt[7]{x^{13}}$

b)

$\sqrt[13]{x^7}$

c)

$\sqrt[]{x^{\frac{7}{13}}}$

d)

$x^6$

45.

Write using a rational exponent: $\sqrt[3]{x^8}$

a)

$x^{\frac{8}{3}}$

b)

$x^{\frac{3}{8}}$

c)

$x^5$

d)

$x^{11}$

46.

Write using a rational exponent: $\sqrt[3]{x^6}$

a)

$x^2$

b)

$x^3$

c)

$x^9$

d)

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

47.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

48.

$\sqrt[3]{x^{15}}$

a)

$x^5$

b)

$x^{\frac{1}{5}}$

c)

$x^{12}$

d)

$x^{18}$

49.

Write using a rational exponent: $\sqrt[3]{x^7}$

a)

$x^{\frac{7}{3}}$

b)

$x^{\frac{3}{7}}$

c)

$x^4$

d)

$x^{11}$

50.

Write using a radical: $x^{\frac{8}{5}}$

a)

$\sqrt[5]{x^8}$

b)

$\sqrt[8]{x^5}$

c)

$\sqrt[]{x^{\frac{5}{8}}}$

d)

$x^{-3}$

51.

$\sqrt[4]{x^{28}}$

a)

$x^7$

b)

$x^{\frac{1}{7}}$

c)

$x^{24}$

d)

$x^{-24}$

52.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

53.

Write using a rational exponent: $\sqrt[]{x^8}$

a)

$x^8$

b)

$x^{\frac{1}{8}}$

c)

$x^4$

d)

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

54.

Write using a radical: $x^{\frac{11}{2}}$

a)

$\sqrt[]{x^{11}}$

b)

$\sqrt[11]{x^2}$

c)

$\sqrt[]{x^{\frac{2}{11}}}$

d)

$x^9$

55.

Write using a radical: $x^{\frac{1}{8}}$

a)

$\sqrt[8]{x^{ }}$

b)

$\sqrt[]{x^8}$

c)

$\sqrt[]{x^{\frac{1}{8}}}$

d)

$x^8$

56.

Solve the following using your laws of exponents.

3^{2x-1}=27

a)

Not here

b)

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

c)

$x=1$

d)

$x=2$

57.

Solve the following now!

\left(\frac{1}{4}\right)^{x-2}=64

a)

$x=6$

b)

$x=5$

c)

$x=-2$

d)

$x=-1$

Chapter 7 Mid Chapter Quiz

Total questions: 57

Worksheet time: 1hrs 14mins

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