Question

Multiply and simplify 2v * 3v⁵w⁸ * 7w⁷.

Answer 1

To multiply and simplify 2v * 3v5w8 * 7w7, multiply the coefficients and add the exponents of the like variables to get 42v6w15.

Step-by-step explanation:

The question asks us to multiply and simplify the expression 2v * 3v5w8 * 7w7. When multiplying expressions with the same base, you simply add their exponents according to the rules of exponents. The coefficients (the numbers in front of the variables) are also multiplied together.

Let's break it down step by step:

1. 
   
3. Multiply the coefficients: 2 * 3 * 7 = 42.
4. 
   
6. Add the exponents of v: v1 * v5 = v1+5 = v6.
7. 
   
9. Add the exponents of w: w8 * w7 = w8+7 = w15.

Putting it all together, the simplified result is 42v6w15.