Evaluate ( square root of 2)/2*(-2/( square root of 2))

$\frac{\sqrt{2}}{2} \cdot (- \frac{2}{\sqrt{2}})$

Cancel the common factor of $\sqrt{2}$ .

Move the leading negative in $- \frac{2}{\sqrt{2}}$ into the numerator.

$\frac{\sqrt{2}}{2} \cdot \frac{- 2}{\sqrt{2}}$

Cancel the common factor.

$\frac{\sqrt{2}}{2} \cdot \frac{- 2}{\sqrt{2}}$

Rewrite the expression.

$\frac{1}{2} \cdot - 2$

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

$\frac{1}{2} \cdot (2 (- 1))$

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot - 1)$

Rewrite the expression.

$- 1$