Question

x^{4}cdot x^{9}

Explanation:

Step1: Apply exponent - product rule

When multiplying two terms with the same base \(a^m\cdot a^n=a^{m + n}\), here \(a = x\), \(m = 4\), \(n=9\).
\(x^{4}\cdot x^{9}=x^{4 + 9}\)

Step2: Calculate the sum of exponents

\(4+9 = 13\), so \(x^{4 + 9}=x^{13}\)

Answer:

\(x^{13}\)