Evaluate (1/5)^2(3+2+5)^2

${(\frac{1}{5})}^{2} {(3 + 2 + 5)}^{2}$

Step 1

Simplify the expression.

Apply the product rule to $\frac{1}{5}$ .

$\frac{1^{2}}{5^{2}} {(3 + 2 + 5)}^{2}$

One to any power is one.

$\frac{1}{5^{2}} {(3 + 2 + 5)}^{2}$

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

$\frac{1}{25} {(3 + 2 + 5)}^{2}$

Add $3$ and $2$ .

$\frac{1}{25} {(5 + 5)}^{2}$

Add $5$ and $5$ .

$\frac{1}{25} \cdot 10^{2}$

Raise $10$ to the power of $2$ .

$\frac{1}{25} \cdot 100$

$\frac{1}{25} \cdot 100$

Step 2

Cancel the common factor of $25$ .

Factor $25$ out of $100$ .

$\frac{1}{25} \cdot (25 (4))$

Cancel the common factor.

$\frac{1}{25} \cdot (25 \cdot 4)$

Rewrite the expression.

$4$

$4$

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