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

lo g_{10} (2^{x} + 2^{- x})

(x + 2)^{2} - (x + 4)^{2}

(3 x^{2} - y^{2}) 2

\frac{( y ^{2} + 2 x y )}{x ^{2}}

[2 x^{2} + 4 x - 3] + [8 x^{2} + 2 x - 5]

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