What is ((9^{3n}*3^{n+1}))/((27^{n+1)*81^n)} ?

The solution to ((9^{3n}*3^{n+1}))/((27^{n+1)*81^n)} is 1/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((9^{3n}3^{n+1}))/((27^{n+1)81^n)}

simplify

\frac{( 9 ^{3 n} \cdot 3 ^{n + 1} )}{( 2 7 ^{n + 1} \cdot 8 1 ^{n} )}

\frac{1}{9}

Decimal Notation

0.11111 \dots

Solution steps

\frac{9 ^{3 n} \cdot 3 ^{n + 1}}{2 7 ^{n + 1} \cdot 8 1 ^{n}}

Simplify

9^{3 n} \cdot 3^{n + 1} : 3^{7 n + 1}

= \frac{3 ^{7 n + 1}}{2 7 ^{n + 1} \cdot 8 1 ^{n}}

Factor

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

= \frac{3 ^{7 n + 1}}{3 ^{3 (n + 1)} \cdot 8 1 ^{n}}

Simplify

\frac{3 ^{7 n + 1}}{3 ^{3 (n + 1)}} : 3^{4 n - 2}

= \frac{3 ^{4 n - 2}}{8 1 ^{n}}

Factor

8 1^{n} : 3^{4 n}

= \frac{3 ^{4 n - 2}}{3 ^{4 n}}

Simplify

\frac{3 ^{4 n - 2}}{3 ^{4 n}} : \frac{1}{3 ^{2}}

= \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{1}{9}

2 x^{2} - 7 x y + 6 y^{2}

det (b^{- 1})

x^{3} - 3 x^{2} + 9 x

tan^{2} (arctan (x))

x^{3} + 0.001

What is ((9^{3n}*3^{n+1}))/((27^{n+1)*81^n)} ?
The solution to ((9^{3n}*3^{n+1}))/((27^{n+1)*81^n)} is 1/9