Free Printable Laws of Exponents

1.

Simplify 5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

2.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

3.

Solve and Simplify (no exponent)

2^0

a)

$0$

b)

$1$

c)

$2$

d)

$\frac{1}{2}$

4.

3⁴x 3⁷

a)

9²⁸

b)

3²⁸

c)

3¹¹

d)

9¹¹

5.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

6.

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

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

7.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

8.

Simplify: $x^3\cdot x^4$

a)

$x^{12}$

b)

$x^7$

c)

$x^1$

d)

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

9.

Solve using the product law of exponents

(5⁵)(5³)

a)

25⁸

b)

5¹⁵

c)

25¹⁵

d)

5⁸

10.

Solve using the product law of exponents.

(10¹²)(10⁴)

a)

10¹⁶

b)

10⁴⁸

c)

100¹⁶

d)

100⁴⁸

11.

Simplify.

(x⁴) (x)

a)

2x⁴

b)

x

c)

x⁵

d)

x⁴

12.

5²·5⁵=

a)

5⁷

b)

5³

c)

5^-7

d)

5^-3

13.

x³·x⁴=

a)

x⁷

b)

x¹

c)

x^-7

d)

x^-1

14.

n⁰ =

a)

1

b)

0

15.

Simplify:

(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

16.

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

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

17.

Simplify the expression using exponential notation:

$\left(a^4\right)^3$

a)

$a^{12}$

b)

$a^7$

c)

$a$

d)

$a^{15}$

18.

Simplify the expression using exponential notation:

$\left(y^8\right)^5$

a)

$y^{13}$

b)

$y^{40}$

c)

$y^3$

d)

$y^{85}$

19.

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

a)

$x^3$

b)

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

c)

$x^{13}$

d)

$x^{40}$

20.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

21.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

22.

Simplify (-5.7)⁰

a)

1

b)

0

c)

-1

d)

-5.7

23.

a)

x¹²

b)

x^-12

c)

x²

d)

x^-2

24.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

25.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

26.

a)

3

b)

0

c)

1

d)

1/3

27.

a)

8

b)

1/8

c)

8⁷

d)

all of the above

28.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

29.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

30.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

31.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

32.

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

a)

add

b)

subtract

c)

multiply

d)

divide

33.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

34.

Multiply

a)

100

b)

10¹

c)

10^-2

d)

1/100

35.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

36.

Simplify the expression using exponential notation:

$a^2\cdot a^4$

a)

$a^6$

b)

$a^8$

c)

$a^2$

d)

$a^{24}$

37.

Simplify the expression using exponential notation:

$x^5\cdot x^5$

a)

$x^{25}$

b)

$x^2$

c)

$x^{10}$

d)

x

38.

Simplify the expression using exponential notation:

$y^9\cdot y^8$

a)

$y^{72}$

b)

$y^{ }$

c)

$y^{17}$

d)

$y^3$

39.

Simplify the expression using exponential notation:

$\left(a^4\right)^3$

a)

$a^{12}$

b)

$a^7$

c)

$a$

d)

$a^{15}$

40.

Simplify the expression using exponential notation:

$\left(y^8\right)^5$

a)

$y^{13}$

b)

$y^{40}$

c)

$y^3$

d)

$y^{85}$

41.

Simplify the expression using exponential notation:

$\left(4^2\right)^3$

a)

$y^6$

b)

$y^9$

c)

$y^{15}$

d)

$y^5$

42.

$\left(7x^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

43.

$k^{-6}$

a)

$\frac{k}{6}$

b)

$\frac{6}{k}$

c)

$k^6$

d)

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

44.

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

a)

$x^3$

b)

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

c)

$x^{13}$

d)

$x^{40}$

45.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

46.

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

a)

add

b)

subtract

c)

multiply

d)

divide

47.

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

a)

$x$

b)

$x^2$

c)

$x^3$

d)

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

48.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

49.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

50.

Simplify the expression:
(5⁸) ÷ (5²)

a)

5⁶

b)

5¹⁰

c)

5⁴

d)

5¹⁶

51.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

52.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

53.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

54.

z⁰

a)

z

b)

0

c)

1

55.

$Evaluate\ the\ \exp ression.\ \ \ \ \ 7^9\ \div\ \left(7^2\right)^3$

a)

$7^8$

b)

$7^4$

c)

$49^3$

d)

$7^3$

56.

$Evaluate\ \ \ \ 3\left(5^0\right).$

a)

15

b)

4

c)

3

d)

27

Laws of Exponents

Total questions: 56

Worksheet time: 1hrs 23mins

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