Evaluate -2(2/5)^2

$- 2 {(\frac{2}{5})}^{2}$

Step 1

Apply the product rule to $\frac{2}{5}$ .

$- 2 \frac{2^{2}}{5^{2}}$

Step 2

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

$- 2 \frac{4}{5^{2}}$

Step 3

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

$- 2 (\frac{4}{25})$

Step 4

Multiply $- 2 (\frac{4}{25})$ .

Combine $- 2$ and $\frac{4}{25}$ .

$\frac{- 2 \cdot 4}{25}$

Multiply $- 2$ by $4$ .

$\frac{- 8}{25}$

$\frac{- 8}{25}$

Step 5

Move the negative in front of the fraction.

$- \frac{8}{25}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{25}$

Decimal Form:

$- 0.32$

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