Free Printable Rational Exponents

1.

Write in exponential form

∛x⁷

a)

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

b)

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

c)

3x⁷

d)

7x³

2.

Write as a radical expression
y²⁄ ³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

3.

Simplify:

a)

2

b)

8

c)

16

d)

32

4.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

5.

Simplify:

a)

2

b)

4

c)

16

d)

64

6.

Write with rational exponents:√(7x)

a)

(7x)^½

b)

7x^½

c)

7x²

d)

(7x)²

7.

Rewrite the following

∛x⁵

a)

x^3/5

b)

x^5/3

c)

x²

d)

x³⋅x⁵

8.

Write in exponential form
∜(3x)³

a)

3x³⁄ ⁴

b)

(3x)³∕ ⁴

c)

(3x)⁴⁄ ³

d)

3x⁴⁄ ³

9.

Simplify:

a)

∛121

b)

121

c)

√11

d)

1331

10.

Which TWO are equivalent to the above expression?

a)

b)

c)

d)

11.

Which TWO are equivalent to the above expression?

a)

b)

c)

d)

12.

Which TWO are equivalent to the above expression?

a)

b)

c)

d)

13.

Which is equivalent to the above expression?

a)

b)

c)

d)

14.

Write the above expression in exponential form.

a)

b)

c)

d)

15.

Write the above expression in exponential form.

a)

b)

c)

d)

16.

Write the above expression in exponential form.

a)

b)

c)

d)

17.

Write the above expression in exponential form.

a)

b)

18.

Write the above expression in exponential form.

a)

b)

19.

Simplify

a)

81a⁷

b)

3a³

c)

3a⁷

d)

81a¹²

20.

Simplify

a)

b)

c)

d)

21.

Simplify

a)

b)

c)

d)

22.

Simplify.

a)

b²

b)

10b³

c)

25b²

d)

5b²

23.

Simplify

a)

3n

b)

36n²

c)

6n

d)

6n²

24.

Rewrite the expression using a radical exponent:

a)

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

b)

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

c)

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

d)

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

25.

Rewrite the expression using a radical exponent:

a)

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

b)

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

c)

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

d)

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

26.

Rewrite the expression using a radical exponent:

a)

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

b)

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

c)

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

d)

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

27.

Rewrite the expression using a radical exponent:

a)

$x^{\frac{7}{4}}$

b)

$x^{\frac{4}{7}}$

c)

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

d)

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

28.

Rewrite the expression using a radical exponent:

a)

$x^{\frac{3}{5}}$

b)

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

c)

$x^8$

d)

$x^2$

29.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

30.

a)

(5x)^-2/1

b)

(5x)^2/1

c)

(5x)^-1/2

d)

(5x)^1/2

31.

a)

(6v)³

b)

6v^3/2

c)

(6v)^3/2

d)

(6v)^2/3

32.

Rewrite the expression using a rational exponent.

a)

4xy¹¹

b)

xy⁴⁴

c)

(xy)^11/4

d)

(xy)^4/11

33.

simplify the following..

36^1/2

a)

36

b)

6

c)

9

d)

18

34.

Re-write $\left(5xy\right)^{-\frac{1}{3}}$ in radical form.

a)

$\ ^3\sqrt{5xy}$

b)

$\frac{1}{\ ^3\sqrt{5xy}}$

c)

$\frac{1}{\left(5xy\right)^3}$

d)

$\frac{5}{\ ^3\sqrt{xy}}$

35.

Simplify $\left(x^{\frac{1}{7}}\right)^{\frac{3}{2}}$ and write your answer in radical form.

a)

$^{21}\sqrt{x^2}$

b)

$\ ^{14}\sqrt{x^3}$

c)

$\sqrt{x^3}$

d)

$^3\sqrt{x^{14}}$

36.

Simplify.

a)

-25

b)

-5

c)

1/25

d)

1/5

Rational Exponents

Total questions: 36

Worksheet time: 9hrs 0mins

Similar Resources on Wayground