What is ((3^{4/2}*2^5))/((3^2)^6) ?

The solution to ((3^{4/2}*2^5))/((3^2)^6) is 32/59049

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simplify ((3^{4/2}*2^5))/((3^2)^6)

simplify

\frac{( 3 ^{\frac{4}{2}} \cdot 2 ^{5} )}{( 3 ^{2} ) ^{6}}

\frac{32}{59049}

Decimal Notation

0.00054 \dots

Solution steps

\frac{3 ^{\frac{4}{2}} \cdot 2 ^{5}}{( 3 ^{2} ) ^{6}}

(3^{2})^{6} = 3^{12}

= \frac{3 ^{\frac{4}{2}} \cdot 2 ^{5}}{3 ^{12}}

Simplify

\frac{3 ^{\frac{4}{2}}}{3 ^{12}} : \frac{1}{3 ^{10}}

= \frac{2 ^{5}}{3 ^{10}}

\frac{2 ^{5}}{3 ^{10}} = \frac{32}{59049}

= \frac{32}{59049}

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What is ((3^{4/2}*2^5))/((3^2)^6) ?
The solution to ((3^{4/2}*2^5))/((3^2)^6) is 32/59049