Question

which expression is equivalent to 3^6 · 3^2? 3^12 3^8 1/3^8 1/3^12

Explanation:

Step1: Recall exponent - product rule

When multiplying two exponential expressions with the same base \(a^m\cdot a^n=a^{m + n}\), where \(a = 3\), \(m = 6\), and \(n=2\).

Step2: Calculate the sum of exponents

\(3^{6}\cdot3^{2}=3^{6 + 2}=3^{8}\)

Answer:

\(3^{8}\)