Simplify ((3^4)/(7^3))^3

${(\frac{3^{4}}{7^{3}})}^{3}$

Raise $3$ to the power of $4$ .

${(\frac{81}{7^{3}})}^{3}$

Raise $7$ to the power of $3$ .

${(\frac{81}{343})}^{3}$

Apply the product rule to $\frac{81}{343}$ .

$\frac{81^{3}}{343^{3}}$

Raise $81$ to the power of $3$ .

$\frac{531441}{343^{3}}$

Raise $343$ to the power of $3$ .

$\frac{531441}{40353607}$

The result can be shown in multiple forms.

Exact Form:

$\frac{531441}{40353607}$

Decimal Form:

$0.01316960 \dots$

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