Question

Multiply. 2w⁹v⁹*5v⁴*3w Simplify your answer as much

Answer 1

To multiply the expressions, multiply the coefficients to get 30, add the exponents of w to get w¹⁰, and add the exponents of v to get v¹³, simplifying the answer to 30w¹⁰v¹³.

Step-by-step explanation:

To multiply 2w⁹v⁹ by 5v⁴ by 3w, we need to combine like terms by adding the exponents of the same variables and multiplying the coefficients together.

First, we multiply the coefficients: 2 * 5 * 3 = 30.

Then, we add the exponents of w: 9 (from w⁹) + 1 (from w) = 10.

Finally, we add the exponents of v:

9 (from v⁹) + 4 (from v⁴) = 13.

The simplified answer is 30w¹⁰v¹³.