Question

if root 6 to the power n equals 216 find the value of n to the power 3/2

Answer 1

here is your answer

Answer 2

$(\sqrt{6})^{n} = 216$

$6^{ \frac{n}{2}} = 216$

$6^{ \frac{n}{2} } = 6^3$

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if bases are same, powers are equal
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$\frac{n}{2} = 3$

n =3×2

n = 6

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$n^{ \frac{3}{2} }$


$6^{ \frac{3}{2} }$\

$6^{1.5}$

= 6 × √6

= 6√6




i hope this will help you


-by ABHAY