To simplify the expression 3 x ⋅ 4 x 9 ⋅ v 2 ⋅ 2 v 6 , we'll go through each step carefully:
Multiply the constants : First, we multiply the numerical coefficients together. The constants in the expression are 3, 4, and 2.
3 × 4 × 2 = 24
Multiply the x terms : Next, we need to handle the x terms in the expression. These are x and x 9 .
When multiplying powers of the same base, add the exponents:
x 1 + 9 = x 10
Multiply the v terms : Now, we consider the v terms. These are v 2 and v 6 .
Again, add the exponents when multiplying powers of the same base:
v 2 + 6 = v 8
Combine everything into one expression : Now that we have multiplied the constants and combined like terms, we can write the simplified expression combining all parts:
24 x 10 v 8
Thus, the simplified answer is 24 x 10 v 8 .