Question

this module is intended to help you understand fractional exponents. rewrite the expression below as 5 to a single power:
$(5^9)^{10}=5^{90}$
now try:
$(5^3)^8=\square$

Explanation:

Step1: Recall exponent rule

When raising a power to a power, we use the rule \((a^m)^n = a^{m\times n}\). Here, \(a = 5\), \(m = 3\), and \(n = 8\).

Step2: Apply the rule

Calculate \(3\times8 = 24\), so \((5^{3})^{8}=5^{3\times8}=5^{24}\).

Answer:

\(5^{24}\)