Question

simplify. express your answer using a single exponent.
$(w^{4})^{12}$

Explanation:

Step1: Recall exponent rule $(a^m)^n = a^{m\times n}$

For $(w^4)^{12}$, apply the rule where $a = w$, $m = 4$, $n = 12$.

Step2: Calculate the new exponent

Multiply the exponents: $4\times12 = 48$. So $(w^4)^{12}=w^{48}$.

Answer:

$w^{48}$