Free Printable Law of Exponents

1.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

2.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

3.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

4.

4⁰

a)

0

b)

1

c)

4

d)

-4

5.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

6.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

7.

According to exponent rules, when we divide the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

8.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

9.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

10.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

11.

(3³)(3⁴)

a)

3⁷

b)

3¹²

c)

9⁷

12.

8⁵/8²

a)

8⁷

b)

1³

c)

8³

13.

2⁵ is the same as 2 x 5.

a)

True

b)

False

14.

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

a)

$\frac{x^7}{x^2}$

b)

$\frac{1}{x^{10}}$

c)

$x^5$

d)

$x^{-5}$

15.

What is the exponential form of
4 x 4 x 4 x 4 x 4 x 4

a)

6⁴

b)

4²

c)

4⁶

d)

4 x 6

16.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

17.

a⁴ · a³ · a · a⁶ =

a)

a¹⁴

b)

a¹³

c)

a¹²

d)

None of the above

18.

Which of the following is NOT CORRECT?

a)

$m^3\ \cdot m^4\ =\ m^{12}$

b)

$\frac{b^7}{b^3}=b^4$

c)

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

d)

$\left(g^2\right)^7=g^{14}$

19.

Simplify the expression:

x⁴ x^{12 =}

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

20.

Simplify: $\left(\frac{1}{4}\right)^7\ \times\left(\frac{1}{4}\right)^8$

a)

$\left(\frac{1}{4}\right)^{56}$

b)

$\left(\frac{1}{4}\right)^1$

c)

$\left(\frac{1}{4}\right)^{15}$

d)

$\left(\frac{1}{4}\right)^{10}$

21.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

22.

Simplify the expression.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

23.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

24.

Without a calculator, evaluate:
1^3,412 =

a)

3,412

b)

3,411

c)

0

d)

1

25.

Solve and Simplify (no exponent)

\left(\frac{1}{2}\right)^4

a)

$\frac{1}{4}$

b)

$16$

c)

$\frac{1}{2^4}$

d)

$\frac{1}{16}$

26.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

27.

13⁰

a)

1

b)

2

c)

3

d)

4

28.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

29.

$y^3\cdot y\cdot y^4$

a)

$y^{12}$

b)

$y^8$

c)

$y^{-1}$

d)

$y^{11}$

30.

What is the exponential form of
4 x 4 x 4 x 4 x 4 x 4

a)

6⁴

b)

4²

c)

4⁶

d)

4 x 6

Law of Exponents

Total questions: 30

Worksheet time: 41mins

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