First, let's look at the power rule of exponents, below:
[tex](a^b)^c=a^{bc}[/tex]This means when a power is raised to another power, we mutliply the exponents. Applying this rule to our problem and simplifying:
[tex]\begin{gathered} (a^b)^c=a^{bc} \\ (15^{\frac{1}{5}})^5 \\ =15^{\frac{1}{5}\times5} \\ =15^{\frac{5}{5}} \\ =15^1 \\ =15 \end{gathered}[/tex]The simplified answer is "15"
Answer15