Question

smplify.

$( \frac{ {15}^{ \frac{1}{2} } }{ {9}^{ \frac{1}{4} } } ) ^{ - 6}$
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Answer 1

GIVEN :-

$\large\Longrightarrow \bold{ (\frac{5 {}^{ \frac{1}{2} } }{9 { \frac{1}{4} }^{} }) - 6 }$

SOLUTION :-

$\large \Longrightarrow \bold{ \frac{ \sqrt{15} }{(3 {}^{2}) {}^{ \frac{1}{4} } } - 6 }$

$\large \Longrightarrow \bold{ \frac{ \sqrt{15} }{3 {}^{ \frac{1}{2} } } - 6}$

$\large \Longrightarrow \bold{ \frac{ \sqrt{15} }{ \sqrt{3} } - 6}$

$\large \Longrightarrow \bold{ \sqrt{5} - 6 }$

ANSWER :-

$\large \red \Longrightarrow \bold \red{ - 3.76393}$