Question

125 into 5 square into a power 7 divided by 10 power into a power 4

Answer 1

HEY FRIEND...!!!
HERE IS YOUR ANSWER...
$\frac{125 \times {5}^{2} \times {a}^{7} }{ {10}^{3} \times {a}^{4} } \\ as \: \frac{ {x}^{y} }{ {x}^{z} } = {x}^{y - z}$
$so \: we \: get \\ \frac{ {5}^{3} \times {5}^{2} \times {a}^{7 - 4} }{ {10}^{3} } \\ as \: \frac{ {x}^{y} }{ {z}^{y} } = { (\frac{x}{z} )}^{y} \\ = > (\frac{5}{10})^{3} \times {5}^{2} \times {a}^{3} \\ = (\frac{1}{2})^{3} \times 25 \times {a}^{4} \\ = \frac{25 \times {a}^{4} }{8}$

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