Question

simplify.
x^{5}cdot x^{4}

Explanation:

Step1: Use exponent - product rule

When multiplying two powers with the same base \(a^m\cdot a^n=a^{m + n}\), here \(a = x\), \(m = 5\), \(n=4\).
\(x^{5}\cdot x^{4}=x^{5 + 4}\)

Step2: Calculate the exponent sum

\(5+4 = 9\), so \(x^{5 + 4}=x^{9}\)

Answer:

\(x^{9}\)