Simplify $\sqrt[9]{b^8}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $8$ and $n$ equals $\frac{1}{9}$

Applicare la formula: $\frac{a}{b}c$$=\frac{ca}{b}$, dove $a=1$, $b=9$, $c=8$, $a/b=\frac{1}{9}$ e $ca/b=8\cdot \left(\frac{1}{9}\right)$

Applicare la formula: $\frac{a^n}{a}$$=a^{\left(n-1\right)}$, dove $a^n/a=\frac{\sqrt[9]{b^{8}}}{b}$, $a^n=\sqrt[9]{b^{8}}$, $a=b$ e $n=\frac{8}{9}$

Applicare la formula: $x^a$$=\frac{1}{x^{\left|a\right|}}$