Question

simplify (2^5)^3×5^3/8^3×5​

Answer 1

$\frac{ { ({2}^{5}) }^{3} \times {5}^{3} }{ {8}^{3} \times 5 } \\ = \frac{ { ({2}^{5}) }^{3} \times {5}^{3} }{ { ({2}^{3}) }^{3} \times 5 } \\ = \frac{ {(2)}^{5 \times 3} \times {5}^{3} }{ {(2)}^{3 \times 3} \times 5 } \\ = \frac{ {2}^{15} \times {5}^{3} }{ {2}^{9} \times 5 } \\ = {(2)}^{15 - 9} \times {(5)}^{3 - 1} \\ = \: \large \underline{ \underline{ \bf {2}^{6} \times {5}^{2} }}$