Question

Hello friends

I want to recheck my answer so plz give a proper solution along with answer

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Answer 1

This is my answer:    ----------------- LHS

$( \frac{ \sqrt{2} }{ \sqrt{3} } )^5 * ( \frac{6}{7} )^2$

$( \frac{2}{3})^ \frac{5}{2} * (\frac{6}{7} )^2$

$\frac{6^2 * \frac{2^2 \sqrt{2} }{3^2 \sqrt{3} } }{7^2}$

$\frac{ \frac{16 \sqrt{2} }{ \sqrt{3} } }{7^2}$

$\frac{16 \sqrt{2} }{7^2 \sqrt{3} }$

$\frac{16 * 2^ \frac{1}{2} }{49 * 3^ \frac{1}{2} }$


This is Your answer:  ------ RHS

$( \frac{527}{7203} )^ \frac{1}{2}$

$\frac{512^ \frac{1}{2} }{7203^ \frac{1}{2} }$

$\frac{(2 * 2^8)^ \frac{1}{2} }{(3 * 7^4)^ \frac{1}{2} }$

$\frac{(2^9)^ \frac{1}{2} }{3^ \frac{1}{2} (7^4)^ \frac{1}{2} }$

$\frac{2^ \frac{1}{2}(2^8)^ \frac{1}{2} }{3^ \frac{1}{2} (7^4)^ \frac{1}{2} }$

$\frac{2^4 * 2^ \frac{1}{2} }{7^2 * 3^ \frac{1}{2} }$

$\frac{16 * 2^ \frac{1}{2} }{49 * 3^ \frac{1}{2} }$


LHS = RHS.


Hope this helps!

Answer 2

Answer:

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