The final simplified answer for \( \left(\frac{a^{2}}{b^{4}}\right)^{5} \) is

Step 1 ：\( \left(\frac{a^{2}}{b^{4}}\right)^{5} \)

Step 2 ：\( \frac{a^{2\times 5}}{b^{4\times 5}} \)

Step 3 ：\( \frac{a^{10}}{b^{20}} \)