Question

simplify the expression 3^2 × 3^4. what is the result? 6 9^6 3^6 3^8

Explanation:

Step1: Apply exponent - multiplication rule

When multiplying two numbers with the same base \(a^m\times a^n=a^{m + n}\). Here \(a = 3\), \(m=2\) and \(n = 4\). So \(3^{2}\times3^{4}=3^{2 + 4}\).
\[3^{2}\times3^{4}=3^{2+4}\]

Step2: Calculate the exponent

Calculate \(2 + 4\). \(2+4=6\). So \(3^{2+4}=3^{6}\).
\[3^{2 + 4}=3^{6}\]

Answer:

\(3^{6}\)