Simplify -2(-4rt)^2

$- 2 {(- 4 r t)}^{2}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- 4 r t$ .

$- 2 ({(- 4 r)}^{2} t^{2})$

Apply the product rule to $- 4 r$ .

$- 2 ({(- 4)}^{2} r^{2} t^{2})$

Step 2

Raise $- 4$ to the power of $2$ .

$- 2 (16 r^{2} t^{2})$

Step 3

Multiply $16$ by $- 2$ .

$- 32 r^{2} t^{2}$