Question

simplify [{625^1/2}^-1/4]^2​

Answer 1

${ { {625}^{ \frac{1}{2} } }^{ \frac{ - 1}{4} } }^{2} \\ \\ { { { {25}^{2} }^{ \frac{1}{2} } }^{ \frac{ - 1}{4} } }^{2} \\ \\ { { { {5}^{4} }^{ \frac{1}{2} } }^{ \frac{ - 1}{4} } }^{2} \\ \\ we \: take \: the \: powers \: of \: 5 \\ \\ 4 \times \frac{1}{2} \times \frac{ - 1}{4} \times 2 \\ \\ answer = - 1$