Question

125^-2/3 × square root 5^12 divide (25^3)^1/2

Answer 1

the answer to this question is 5
=
$\frac{1}{25} \times {5}^{6} \div \sqrt{ {25}^{3} }$
$\frac{ {5}^{4} }{ \sqrt{ {5}^{6} } }$
$\sqrt{ \frac{ {5}^{8} }{ {5}^{6} } }$
$\sqrt{ {5}^{2} }$
$\frac{ + }{ - } 5$

Answer 2

Hi friends

Here is your answer

$= \frac{(125) {}^{ \frac{ - 2}{3} } \times \sqrt{ {5}^{12} } }{( \sqrt{25 {}^{3} } )} \\ \\ = \frac{ {5}^{3 \times ( \frac{ - 2}{3}) } \times (5) {}^{12 \times \frac{1}{2} } }{5 {}^{2 \times 3 \times \frac{1}{2} } } \\ \\ = \frac{ {5}^{ - 2} \times {5}^{6} }{ {5}^{3} } \\ \\ = {5}^{ - 2 + 6 - 3} \\ \\ = {5}^{1} \\ \\ = 5$
Hope it helps you

@ MSD