(2^n+3^n)/(6^n)

 Esercizio

$\frac{2^n+3^n}{6^n}$

 

Espandere la frazione $\frac{2^n+3^n}{6^n}$ in $2$ frazioni piÃ¹ semplici con denominatore comune. $6^n$

$\frac{2^n}{6^n}+\frac{3^n}{6^n}$

 

Applicare la formula: $\frac{a^n}{b^n}$$=\left(\frac{a}{b}\right)^n$, dove $a^n=2^n$, $a=2$, $b=6$, $b^n=6^n$ e $a^n/b^n=\frac{2^n}{6^n}$

$\left(\frac{2}{6}\right)^n+\frac{3^n}{6^n}$

 

Applicare la formula: $\frac{a^n}{b^n}$$=\left(\frac{a}{b}\right)^n$, dove $a^n=3^n$, $a=3$, $b=6$, $b^n=6^n$ e $a^n/b^n=\frac{3^n}{6^n}$

$\left(\frac{2}{6}\right)^n+\left(\frac{3}{6}\right)^n$

 

Applicare la formula: $\frac{a}{b}$$=\frac{a}{b}$, dove $a=2$, $b=6$ e $a/b=\frac{2}{6}$

$\left(\frac{1}{3}\right)^n+\left(\frac{3}{6}\right)^n$

 

Applicare la formula: $\frac{a}{b}$$=\frac{a}{b}$, dove $a=3$, $b=6$ e $a/b=\frac{3}{6}$

$\left(\frac{1}{3}\right)^n+\left(\frac{1}{2}\right)^n$

$\left(\frac{1}{3}\right)^n+\left(\frac{1}{2}\right)^n$

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