Question

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@ Spandan Roy ​

Answer 1

Answer is 125

Root can be cancelled from 5cube

So 5^4

5^-3/2 is 5^2/3

So cube root of 5^2

So 5^4 ×Cube root of 5^2

So 5^3

125

Confusing but correct answer

Answer 2

$\huge \sf {\pink {\underline {\blue{\underline {A᭄ɴsᴡᴇʀ࿐ :−}}}}}$

$\bf \implies \: 5 \sqrt{5} \times {5}^{3} \div {5}^{ \frac{ - 3}{2} } \\ \implies \bf \: {5}^{ \frac{3}{2} } \times {5}^{3} \div {5}^{ \frac{ - 3}{2} } \\ \implies \bf \: {5}^{ \frac{3}{2} + 3} \div {5}^{ \frac{ - 3}{2} } \\ \implies \bf \: {5}^{ \frac{3 + 6}{2} } \div {5}^{ \frac{ - 3}{2} } \\ \implies \bf \: {5}^{ \frac{9}{2} } \div {5}^{ \frac{ - 3}{2} } \\ \implies \bf \: {5}^{ \frac{9}{2} + \frac{3}{2} } \\ \implies \bf \: {5}^{ \frac{9 + 3}{2} } \\ \: \implies \bf \: {5}^{ \frac{ \cancel{12} \: ^{6} }{ \cancel2} } \\ \bf \therefore {5}^{6} \blue{ans}$

$\huge \rm \underline\blue{@BrainlyHoney}$