Free Printable Exponents and Roots Fractions

1.

Solve:

$\left(\frac{7}{9}\right)^3$

a)

$\frac{21}{27}$

b)

$\frac{343}{729}$

c)

$\frac{4}{5}$

d)

Other

2.

Solve:

$\left(-\frac{5}{3}\right)^4=$

a)

$\frac{20}{12}$

b)

$-\frac{625}{81}$

c)

$\frac{625}{81}$

d)

Other

3.

Solve:

$\left(-\frac{2}{5}\right)^5$

a)

$-\frac{32}{3125}$

b)

$-\frac{10}{25}$

c)

$-\frac{128}{625}$

d)

Other

4.

Solve. Hint: Use the properties of exponents!

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

a)

$\left(\frac{1}{3}\right)^6=\frac{1}{729}$

b)

$\left(\frac{1}{3}\right)^5=\frac{1}{243}$

c)

$\frac{1}{3}$

d)

Other

5.

Solve. Hint: Use the properties of exponents!

$\left[\left(-\frac{7}{5}\right)^2\right]^3=$

a)

$\left(-\frac{7}{5}\right)^6=\frac{117649}{15625}$

b)

$\left(-\frac{7}{5}\right)^5=\frac{16807}{3125}$

c)

$\left(-\frac{7}{5}\right)^6=-\frac{42}{30}$

d)

Other

6.

Solve:

$\sqrt{\frac{81}{100}}=$

a)

$\frac{9}{10}$

b)

$\frac{162}{200}$

c)

$\frac{50}{73}$

d)

Other

7.

Solve:

\sqrt{\frac{100}{25}}=

a)

$2$

b)

$\frac{1}{2}$

c)

$75$

d)

Other

8.

Solve:

\left(\sqrt{\frac{169}{400}}\right)^3

a)

$\frac{2197}{8000}$

b)

$\frac{13}{20}$

c)

$\frac{47}{89}$

d)

Other

9.

Solve. Hint: Order of operations.*

$\sqrt{\left[\left(\frac{1}{4}\right)^2\cdot\left(\frac{1}{4}\right)^3\right]}$

a)

$\frac{1}{32}$

b)

$\frac{1}{1024}$

c)

$\frac{1}{128}$

d)

Other

10.

$\sqrt{\frac{1}{9}}=$

Solve:

a)

$\frac{1}{3}$

b)

$\frac{2}{7}$

c)

$\frac{1}{81}$

d)

Other

11.

$\sqrt{\frac{x}{25}}=\frac{8}{5}$

Find the value of x that makes the statement TRUE.

a)

x=64

b)

x=32

c)

x=4

d)

Other

12.

$\sqrt{\frac{121}{x}}=\frac{11}{2}$

Find the value of x that makes the statement TRUE.

a)

x=1

b)

x=24

c)

x=8

d)

Other

Exponents and Roots Fractions

Total questions: 12

Worksheet time: 2hrs 0mins

Similar Resources on Wayground