What is (3^{2n}\times 25^{2n-1})/(15^{n-1)} ?

The solution to (3^{2n}\times 25^{2n-1})/(15^{n-1)} is 3^{n+1}*5^{3n-1}

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simplify (3^{2n}\times 25^{2n-1})/(15^{n-1)}

simplify

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

3^{n + 1} \cdot 5^{3 n - 1}

Solution steps

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

Factor

1 5^{n - 1} : 3^{n - 1} \cdot 5^{n - 1}

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

Simplify

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

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

Factor

2 5^{2 n - 1} : 5^{2 (2 n - 1)}

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

Simplify

\frac{5 ^{2 (2 n - 1)}}{5 ^{n - 1}} : 5^{3 n - 1}

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

- 3 - \frac{3}{2}

(3 - 7 i) (3 + 7 i)

\frac{( 1 + 6 i )}{6 - i}

\frac{x}{2} + 1 - 3 > 7

3 v^{2} + 10 v + 7

What is (3^{2n}\times 25^{2n-1})/(15^{n-1)} ?
The solution to (3^{2n}\times 25^{2n-1})/(15^{n-1)} is 3^{n+1}*5^{3n-1}