Question

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

Explanation:

Step1: Recall the power of a power rule

The power of a power rule states that \((a^m)^n = a^{m \times n}\). Here, \(a = 5\), \(m = 9\), and \(n = 10\).

Step2: Apply the power of a power rule

Using the rule, we multiply the exponents: \(9\times10 = 90\). So, \((5^9)^{10}=5^{9\times10}=5^{90}\).

Answer:

\(5^{90}\)