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

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

Step 1

Raise $5$ to the power of $3$ .

${(\frac{6}{125})}^{2}$

Step 2

Apply the product rule to $\frac{6}{125}$ .

$\frac{6^{2}}{125^{2}}$

Step 3

Raise $6$ to the power of $2$ .

$\frac{36}{125^{2}}$

Step 4

Raise $125$ to the power of $2$ .

$\frac{36}{15625}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{36}{15625}$

Decimal Form:

$0.002304$

Related Questions