enter the correct answer in the box. simplify the expression (6^2)^4.
enter the correct answer in the box. simplify the expression (6^2)^4.
Answer
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:
$6^8$