The final simplified answer for \( \left(\frac{a^{2}}{b^{4}}\right)^{5} \) is
\( \frac{a^{10}}{b^{20}} \)
Step 1 :\( \left(\frac{a^{2}}{b^{4}}\right)^{5} \)
Step 2 :\( \frac{a^{2\times 5}}{b^{4\times 5}} \)
Step 3 :\( \frac{a^{10}}{b^{20}} \)