Evaluate -2*( square root of 14)^2

$- 2 \cdot {(\sqrt{14})}^{2}$

Rewrite ${\sqrt{14}}^{2}$ as $14$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{14}$ as $14^{\frac{1}{2}}$ .

$- 2 \cdot {(14^{\frac{1}{2}})}^{2}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$- 2 \cdot 14^{\frac{1}{2} \cdot 2}$

Combine $\frac{1}{2}$ and $2$ .

$- 2 \cdot 14^{\frac{2}{2}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$- 2 \cdot 14^{\frac{2}{2}}$

Rewrite the expression.

$- 2 \cdot 14^{1}$

Evaluate the exponent.

$- 2 \cdot 14$

Multiply $- 2$ by $14$ .

$- 28$