Question

simplify. express your answer using positive exponents. 7v^{69} cdot 7v^{94}

Explanation:

Step1: Use the product - rule of exponents

When multiplying two terms with the same base \(a^m\cdot a^n=a^{m + n}\), here \(a = 7v\), \(m=69\) and \(n = 94\).
\((7v)^{69}\cdot(7v)^{94}=(7v)^{69 + 94}\)

Step2: Calculate the sum of exponents

\(69+94 = 163\)
So \((7v)^{69}\cdot(7v)^{94}=(7v)^{163}\)

Answer:

\((7v)^{163}\)