Free Printable REVIEW EXPONENT & POWERS

1.

Write each power as product of the same factor. Then find the value

$\left(\frac{1}{2}\right)^3$

a)

$\frac{1}{3}\times\frac{1}{3}\times\frac{1}{3}=\frac{1}{27}$

b)

$\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{8}$

c)

$\frac{1}{2}\times3=6$

d)

$3\times\frac{1}{2}=\frac{3}{2}$

2.

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

a)

Add

b)

Multiply

c)

Subtract

d)

Divide

3.

Simplify so there are no negative exponents in the answer.

\left(3n^3\right)^{-3}

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

4.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

5.

(n⁵ / n²)³

a)

n¹⁰

b)

n⁹

c)

n¹¹

d)

n⁸

6.

Simplify: χ³ ÷ χ²

a)

χ

b)

χ⁵

c)

χ⁶

d)

χ^-1

e)

1/χ

7.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

8.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

9.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

10.

a)

a⁷

b)

a¹

c)

1/a¹²

d)

a¹²

11.

a)

1/7

b)

7

c)

24.5

d)

-7

12.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

13.

Simplify 4⁷ ÷ 4³

a)

4¹⁰

b)

4

c)

4²¹

d)

4⁴

14.

Simplify 4⁰

a)

1

b)

4

c)

0

15.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

16.

What is the value of $x^2\times\ x^{-3}\ \times\ x\ ^4$

a)

$x^9$

b)

$x^7$

c)

$x^6$

d)

$x^3$

17.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

18.

$r^5\times r^5=$

a)

$r^{25}$

b)

$r$

c)

$r^{10}$

19.

What is the correct law for multiplication? a^m x aⁿ=

a)

a^m+n

b)

a^m + aⁿ

c)

a^mxn

d)

a^mⁿ

20.

What is the correct law for division? a^m ÷ aⁿ =

a)

a^m-n

b)

a^m - aⁿ

c)

a^m÷n

d)

a^m/n

21.

What is the correct law for powers of powers? (a^m)ⁿ =

a)

a^mxn

b)

a^m+n

c)

a^m x aⁿ

d)

a^men

22.

Simplify: (3x²y³)⁰

a)

1

b)

0

c)

3x²y³

d)

3

23.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

24.

Simplify: 42m¹² ÷ 7m⁶

a)

6m⁶

b)

6m²

c)

35m⁶

d)

35m²

25.

Simplify: (3h²)³

a)

27h⁶

b)

27h⁵

c)

9h⁶

d)

9h⁵

26.

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

a)

$\left(x\div1\right)^4$

b)

$x^{\left(4\div1\right)}$

c)

$x^{\left(4-0\right)}$

d)

$x^{\left(4-1\right)}$

REVIEW EXPONENT & POWERS - LESSON 1.1

Total questions: 26

Worksheet time: 4hrs 20mins

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