Simplify (6/(5^2))^3

${(\frac{6}{5^{2}})}^{3}$

Step 1

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

${(\frac{6}{25})}^{3}$

Step 2

Apply the product rule to $\frac{6}{25}$ .

$\frac{6^{3}}{25^{3}}$

Step 3

Raise $6$ to the power of $3$ .

$\frac{216}{25^{3}}$

Step 4

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

$\frac{216}{15625}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{216}{15625}$

Decimal Form:

$0.013824$

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