Question

rewrite using a single exponent. 9^3 . 9^2

Explanation:

Step1: Recall exponent - product rule

When multiplying two numbers with the same base \(a^m\cdot a^n=a^{m + n}\), here \(a = 9\), \(m=3\) and \(n = 2\).
\[9^{3}\cdot9^{2}=9^{3 + 2}\]

Step2: Calculate the sum of exponents

\[3+2=5\]
So, \(9^{3}\cdot9^{2}=9^{5}\)

Answer:

\(9^{5}\)