What is (((243)^{n/5}*3^{2n+1}))/((9^n*3^{n-1))} ?

The solution to (((243)^{n/5}*3^{2n+1}))/((9^n*3^{n-1))} is 9

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simplify (((243)^{n/5}3^{2n+1}))/((9^n3^{n-1))}

simplify

\frac{( ( 243 ) ^{\frac{n}{5}} \cdot 3 ^{2 n + 1} )}{( 9 ^{n} \cdot 3 ^{n - 1} )}

9

Solution steps

\frac{24 3 ^{\frac{n}{5}} \cdot 3 ^{2 n + 1}}{9 ^{n} \cdot 3 ^{n - 1}}

Simplify

9^{n} \cdot 3^{n - 1} : 3^{3 n - 1}

= \frac{24 3 ^{\frac{n}{5}} \cdot 3 ^{2 n + 1}}{3 ^{3 n - 1}}

Factor

24 3^{\frac{n}{5}} : 3^{n}

= \frac{3 ^{n} \cdot 3 ^{2 n + 1}}{3 ^{3 n - 1}}

Simplify

\frac{3 ^{n}}{3 ^{3 n - 1}} : 3^{- 2 n + 1}

= 3^{- 2 n + 1} \cdot 3^{2 n + 1}

Simplify

3^{- 2 n + 1} \cdot 3^{2 n + 1} : 9

= 9

(\frac{1}{2 a ^{- 2}})^{- 3}

25 m^{8} - 9 n^{6}

x^{2} + y^{2} + 4 x - 4 x - 4 x - \frac{1}{0}

\frac{2 ^{5 x}}{7 ^{x}}

62470 - 42180 - 3 a^{1.52021 E 15}

What is (((243)^{n/5}*3^{2n+1}))/((9^n*3^{n-1))} ?
The solution to (((243)^{n/5}*3^{2n+1}))/((9^n*3^{n-1))} is 9