Simplify ((4^7)/(5^2))^3

${(\frac{4^{7}}{5^{2}})}^{3}$

Raise $4$ to the power of $7$ .

${(\frac{16384}{5^{2}})}^{3}$

Raise $5$ to the power of $2$ .

${(\frac{16384}{25})}^{3}$

Apply the product rule to $\frac{16384}{25}$ .

$\frac{16384^{3}}{25^{3}}$

Raise $16384$ to the power of $3$ .

$\frac{4398046511104}{25^{3}}$

Raise $25$ to the power of $3$ .

$\frac{4398046511104}{15625}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4398046511104}{15625}$

Decimal Form:

$281474976.710656$

Mixed Number Form:

$281474976 \frac{11104}{15625}$

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