Question

simplify.
x^(-7)·x^9
write your answer with a positive exponent only.

Explanation:

Step1: Use exponent - rule

When multiplying two terms with the same base \(a^m\cdot a^n=a^{m + n}\), here \(a = x\), \(m=-7\) and \(n = 9\). So \(x^{-7}\cdot x^{9}=x^{-7 + 9}\).

Step2: Calculate the exponent

\(x^{-7 + 9}=x^{2}\)

Answer:

\(x^{2}\)