Question

evaluate. write your answer as a whole number or as a si
$9^{-4} \cdot 9^{5} = \square$

Explanation:

Step1: Apply exponent rule \(a^m \cdot a^n = a^{m + n}\)

For \(9^{-4} \cdot 9^{5}\), we have \(m=-4\), \(n = 5\), so it becomes \(9^{-4 + 5}\)

Step2: Simplify the exponent

\(-4+5 = 1\), so the expression is \(9^{1}\)

Step3: Evaluate \(9^{1}\)

\(9^{1}=9\)

Answer:

\(9\)