$${ \left( \frac{ 1 }{ 2 } { a }^{ 2 } { b }^{ 4 } \right) }^{ 5 }$$
$\frac{a^{10}b^{20}}{32}$
$$\left(\frac{1}{2}a^{2}b^{4}\right)^{5}$$
$$\left(\frac{1}{2}\right)^{5}\left(a^{2}\right)^{5}\left(b^{4}\right)^{5}$$
$$\frac{1}{32}\left(a^{2}\right)^{5}\left(b^{4}\right)^{5}$$
$$\frac{1}{32}a^{2\times 5}b^{4\times 5}$$
$$\frac{1}{32}a^{10}b^{4\times 5}$$
$$\frac{1}{32}a^{10}b^{20}$$
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