Question

Simplify. 2y⁸w⁸x⁻¹x*4w⁻⁹*7y⁻⁶ Use only positive exponents in your answer.

Answer 1

To simplify the expression, combine the like terms and simplify the exponents.

Step-by-step explanation:

To simplify the expression, we need to combine the like terms and simplify the exponents. Here's how to do that step by step:

1. Multiply the numbers together: 2 * 7 = 14
2. Combine the y terms: y^8 * y^-6 = y^(8-6) = y^2
3. Combine the w terms: w^8 * w^-9 = w^(8-9) = w^-1
4. Combine the x terms: x^-1 * x^4 = x^(-1+4) = x^3

Putting it all together, the simplified expression is 14y^2w^-1x^3. Remember, we only want positive exponents in the answer.