Simplify ((mn^8)/(n^9))^3

${(\frac{m n^{8}}{n^{9}})}^{3}$

Cancel the common factor of $n^{8}$ and $n^{9}$ .

Factor $n^{8}$ out of $m n^{8}$ .

${(\frac{n^{8} m}{n^{9}})}^{3}$

Cancel the common factors.

Factor $n^{8}$ out of $n^{9}$ .

${(\frac{n^{8} m}{n^{8} n})}^{3}$

Cancel the common factor.

${(\frac{n^{8} m}{n^{8} n})}^{3}$

Rewrite the expression.

${(\frac{m}{n})}^{3}$

${(\frac{m}{n})}^{3}$

${(\frac{m}{n})}^{3}$

Apply the product rule to $\frac{m}{n}$ .

$\frac{m^{3}}{n^{3}}$

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