Question

enter the correct answer in the box. simplify the expression (6^2)^4.

Explanation:

Step1: Apply power - of - a - power rule

According to the power - of - a - power rule $(a^m)^n=a^{m\times n}$. Here $a = 6$, $m = 2$ and $n = 4$. So, $(6^2)^4=6^{2\times4}$.

Step2: Calculate the exponent

$2\times4 = 8$, so $6^{2\times4}=6^8$.

Answer:

$6^8$