Simplify the Expression: 3^4 × 3^5 Using Laws of Exponents

Simplify the following equation:

$3^4\times3^5=$

To solve this problem, we'll follow these steps:

• Step 1: Identify the given expression and its components.

• Step 2: Apply the exponent multiplication formula.

• Step 3: Simplify the result.

Now, let's work through each step:
Step 1: The given expression is $3^4 \times 3^5$. We recognize that the base is 3 and the exponents are 4 and 5.
Step 2: Apply the rule for multiplying powers with the same base: $a^m \times a^n = a^{m+n}$. Using this formula, we add the exponents: $4 + 5$.
Step 3: Simplify the expression: $3^{4+5} = 3^9$.

Therefore, the simplified form of the expression is $3^{4+5}$.