Question

question
this module is intended to help you understand fractional exponents.
rewrite the expression below as 4 to a single power:
$(4^2)^{10}=\square$
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Recall exponent rule

When raising a power to a power, we multiply the exponents. The rule is \((a^m)^n = a^{m\times n}\).

Step2: Apply the rule to the given expression

For the expression \((4^2)^{10}\), here \(a = 4\), \(m = 2\), and \(n = 10\). So we multiply the exponents: \(2\times10 = 20\). Thus, \((4^2)^{10}=4^{20}\).

Answer:

\(4^{20}\)