Question

this module is intended to help you understand fractional exponents. rewrite the expression below as 4 to a single power: \\((4^2)^{10}=4^{20}\\) now try: \\((4^6)^3=\square\\)

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 \((4^6)^3\), here \(a = 4\), \(m = 6\), and \(n = 3\). So we multiply the exponents: \(6\times3 = 18\). Thus, \((4^6)^3 = 4^{18}\).

Answer:

\(4^{18}\)