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

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

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simplify ((3^n9^{n+1}))/((3^{n-1)9^{n-1})}

simplify

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

243

Solution steps

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

Simplify

3^{n - 1} \cdot 9^{n - 1} : 2 7^{n - 1}

= \frac{3 ^{n} \cdot 9 ^{n + 1}}{2 7 ^{n - 1}}

Factor

2 7^{n - 1} : 3^{3 (n - 1)}

= \frac{3 ^{n} \cdot 9 ^{n + 1}}{3 ^{3 (n - 1)}}

Simplify

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

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

Simplify

3^{- 2 n + 3} \cdot 9^{n + 1} : 243

= 243

2 (x + 4) + 3 (2 x - 1) - 2 x

3 (5 + 8) (5 - w)

4 t^{2} - 36 b^{2}

- 1 + (- 6) + 8 x - 4

16 a^{4} + 4 a^{2} b^{2} + b^{4}

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