Question

Simplify : 2^-3×5^-3×10^2×25/5^4×2^-5​

Answer 1

$\huge\sf \frac{ {2}^{ - 3} \times {5}^{ - 3} \times {10}^{2} }{ {5}^{4} \times {2}^{ - 5} }$

When the power of any number is negative then the number reciprocal.for example 2^-2 = 1/2².

$\huge \sf \frac{{2}^{ 5} \times {10}^{2} }{ {2}^{3} \times {5}^{3} \times {5}^{4} } \\ \\ = > \huge \sf \frac{ {2}^{7} \times \times {5}^{2} }{ {2}^{3} \times {5}^{7} } \\ \\ = > \red{\boxed{\tt\huge \frac{ {2}^{4} }{ {5}^{5} } }}$