Question

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

Explanation:

Step1: Recall exponent rule for multiplication

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

Step2: Apply the rule

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

Answer:

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