Simplify the expression.
6t3 ∙ 6t3
A. 12t3
B. 12t6
C. 36t6
D. 36t9
C. 36t6
When multiplying variables with the same base, you add the exponents. So, 6t3 multiplied by 6t3 equals 36t6.
To simplify the expression 6t^3 * 6t^3, we need to multiply the coefficients (in this case, 6 * 6) and combine the variables (t^3 * t^3).
The coefficient 6 * 6 = 36.
For the variables, when you multiply two terms with the same base (t) and different exponents (3 * 3), you add the exponents. So, t^3 * t^3 = t^(3+3) = t^6.
Combining the coefficient and the variables, the simplified expression becomes 36t^6.
Therefore, the correct answer is C. 36t^6.
To simplify the expression 6t3 ∙ 6t3, we need to multiply the coefficients and add the exponents of the variables.
Let's break it down step by step:
Step 1: Multiply the coefficients: 6 * 6 = 36.
Step 2: Multiply the variables: t3 * t3 = t(3+3) = t6.
Putting it all together, the simplified expression becomes 36t6.
Therefore, the correct answer is C. 36t6.