Exponents and Roots Fractions

Solve:

 $\left(\frac{7}{9}\right)^3$  

•  $\frac{21}{27}$  

•  $\frac{343}{729}$  

•  $\frac{4}{5}$  

• Other

Solve:

 $\left(-\frac{5}{3}\right)^4=$  

•  $\frac{20}{12}$  

•  $-\frac{625}{81}$  

•  $\frac{625}{81}$  

• Other

Solve:

 $\left(-\frac{2}{5}\right)^5$  

•  $-\frac{32}{3125}$  

•  $-\frac{10}{25}$  

•  $-\frac{128}{625}$  

• Other

Solve. Hint: Use the properties of exponents!

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

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

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

•  $\frac{1}{3}$  

• Other

Solve. Hint: Use the properties of exponents!

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

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

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

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

• Other

Solve:

 $\sqrt{\frac{81}{100}}=$  

•  $\frac{9}{10}$  

•  $\frac{162}{200}$  

•  $\frac{50}{73}$  

• Other

Solve:

 $\sqrt{\frac{100}{25}}=$  

•  $2$  

•  $\frac{1}{2}$  

•  $75$  

• Other

Solve:

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

•  $\frac{2197}{8000}$  

•  $\frac{13}{20}$  

•  $\frac{47}{89}$  

• Other

Solve. Hint: Order of operations.*

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

•  $\frac{1}{32}$  

•  $\frac{1}{1024}$  

•  $\frac{1}{128}$  

• Other

 $\sqrt{\frac{1}{9}}=$  

Solve:

•  $\frac{1}{3}$  

•  $\frac{2}{7}$  

•  $\frac{1}{81}$  

• Other