Question

simplify to a single power of 3:
$3^5 \times 3^4$
answer
answer: $3^{\square}$

Explanation:

Step1: Recall exponent rule for multiplication

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

Step2: Apply the rule

So, \(3^5 \times 3^4 = 3^{5 + 4}\). Calculating the sum in the exponent: \(5 + 4 = 9\). Thus, \(3^5 \times 3^4 = 3^9\).

Answer:

\(3^9\) (the exponent is 9, so the box should be filled with 9)