this module is intended to help you understand fractional exponents. rewrite the expression below as 16 to a…

this module is intended to help you understand fractional exponents. rewrite the expression below as 16 to a single power: \\((16^{8})^{4}=\\square\\)

this module is intended to help you understand fractional exponents. rewrite the expression below as 16 to a single power: \\((16^{8})^{4}=\\square\\)

Answer

Explanation:

Step1: Apply exponent power rule

Recall the rule: $(a^m)^n = a^{m \times n}$ For $(16^8)^4$, set $a=16$, $m=8$, $n=4$.

Step2: Calculate the new exponent

$8 \times 4 = 32$ Substitute back to get $16^{32}$.

Answer:

$16^{32}$