Question

this module is intended to help you understand fractional exponents. rewrite the expression below as 9 to a single power:
$(9^5)^7 = 9^{35}$
now try:
$(9^8)^4 = \square$

Explanation:

Step1: Recall exponent rule

When raising a power to a power, we use the rule \((a^m)^n = a^{m\times n}\). Here, \(a = 9\), \(m = 8\), and \(n = 4\).

Step2: Apply the rule

Calculate \(8\times4 = 32\). So, \((9^8)^4 = 9^{8\times4}=9^{32}\).

Answer:

\(9^{32}\)