Question

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

Explanation:

Step1: Recall the power of a power rule

The power of a power rule states that \((a^m)^n = a^{m \times n}\) for any real number \(a\) and integers \(m\) and \(n\).

Step2: Apply the rule to the given expression

For the expression \((9^5)^7\), we have \(a = 9\), \(m = 5\), and \(n = 7\). Using the power of a power rule, we multiply the exponents: \(5\times7 = 35\). So, \((9^5)^7 = 9^{35}\).

Answer:

\(9^{35}\)