Simplify the Expression: 6^t × 9^t Using Laws of Exponents

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

• Step 1: Identify the expression to simplify, [$6^t \times 9^t$].

• Step 2: Apply the Power of a Product Rule, [$a^m \times b^m = (a \times b)^m$].

Now, let's work through each step:

Step 1: We start with the expression $6^t \times 9^t$.

Step 2: Using the Power of a Product Rule, we rewrite this expression as $(6 \times 9)^t$.

Thus, the correct equivalent expression is $\left(6 \times 9\right)^t$.