# How do you use the laws of exponents to simplify (3^ { \frac { 5} { 4} } ) ^ { \frac { 2} { 9} }?

Apr 14, 2018

${3}^{\frac{5}{18}}$

#### Explanation:

${\left({3}^{\frac{5}{4}}\right)}^{\frac{2}{9}}$

First, here's a list of the laws of exponents:

As you can see, our problem follows the "Power" law of exponents. When a power is to the power of something, then we multiply the two exponents:

${3}^{\frac{5}{4} \cdot \frac{2}{9}}$

And simplify...
${3}^{\frac{10}{36}}$

Final answer: $\textcolor{red}{{3}^{\frac{5}{18}}}$
Hope this helps!