Question

this module is intended to help you understand fractional exponents. rewrite the expression below as 6 to a single power:
$(6^{4})^{9}=\square$

Explanation:

Step1: Recall exponent rule

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

Step2: Apply the rule

For \((6^4)^9\), here \(a = 6\), \(m = 4\), \(n = 9\). So we calculate \(4\times9 = 36\). Thus, \((6^4)^9 = 6^{4\times9}=6^{36}\).

Answer:

\(6^{36}\)