Question

this module is intended to help you understand fractional exponents. rewrite the expression below as 6 to a single power:
$(6^4)^9 = 6^{36}$
now try:
$(6^7)^3 = \square$

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 to \((6^7)^3\)

Here, \(a = 6\), \(m = 7\), and \(n = 3\). So we calculate \(7\times3 = 21\). Thus, \((6^7)^3 = 6^{7\times3}=6^{21}\).

Answer:

\(6^{21}\)