Simplify t^6 × t^7: Exponent Multiplication Practice

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

• Step 1: Identify the base and the exponents from the given expression.
• Step 2: Apply the rule for multiplying powers with the same base.
• Step 3: Perform the addition to simplify the exponents.

Now, let's work through each step:
Step 1: The expression given is $t^6 \times t^7$. The base here is $t$, and the exponents are 6 and 7.

Step 2: According to the rule for multiplying exponents with the same base, we add the exponents. Therefore, the expression becomes:
$t^6 \times t^7 = t^{6+7}$.

Step 3: Simplify the expression by adding the exponents:
$6 + 7 = 13$.

Therefore, the simplified expression is $t^{13}$.

The correct choice given is: $t^{13}$, which is choice 2.