Question

simplify to a single power of 3:
\\(3^5 \times 3^4\\)
answer attempt 1 out of 2
answer: \\(3^{\square}\\)

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two powers with the same base, we add the exponents. The rule is \(a^m\times a^n = a^{m + n}\), where \(a = 3\), \(m = 5\), and \(n = 4\).

Step2: Apply the rule

For \(3^5\times3^4\), we add the exponents: \(5 + 4 = 9\). So \(3^5\times3^4=3^{5 + 4}=3^9\).

Answer:

\(3^9\) (so the exponent is 9)