Question

Multiply: 4v^2(-6v^7). Simplify your answer as much as possible.

Answer 1

The expression

`4v^2`

multiplied by

`(-6v^7)`

simplifies to

`-24v^9`

by adding the exponents and multiplying the coefficients.

Step-by-step explanation:

To multiply the expressions

`(-6v^7)`

ply the rules of exponents and multiplication. When we multiply like bases, we add the exponents. Thus, the exponent of v in the product will be the sum of the exponents in the individual terms, which are 2 and 7 respectively. We also multiply the coefficients, which are 4 and -6 in this case. Combining all this information gives us the simplified expression:

`4v^2 × (-6v^7) = -24v^(2+7) = -24v^9.`

Therefore, the simplified result of multiplying

`4v^2 by (-6v^7) is -24v^9.`