Question

simplify.
$left(-3u^{3}w^{2}
ight)^{4}$
write your answer without parentheses.

Explanation:

Step1: Apply power to constant

$(-3)^4 = 81$

Step2: Apply power to $u$-term

$(u^3)^4 = u^{3\times4}=u^{12}$

Step3: Apply power to $w$-term

$(w^2)^4 = w^{2\times4}=w^{8}$

Step4: Multiply all simplified terms

$81 \times u^{12} \times w^{8}$

Answer:

$81u^{12}w^{8}$