Question

1. 5x^-10 * -2x^4 (Simplify)

2.-4x^2 * 3y^-5 * 2y^7 * x^-6 (Simplify)

(Show Your Work)

Answer 1

Answer: 5x^-10 * -2x^4

To simplify this expression, we will multiply the coefficients (the numbers in front of the variables) and add the exponents of x.

5 * -2 = -10

-10x^(-10 + 4) = -10x^-6

So, the simplified expression is:

-10x^-6

2.-4x^2 * 3y^-5 * 2y^7 * x^-6

To simplify this expression, we will multiply the coefficients and add the exponents of x and y.

-4 * 3 * 2 = -24

-24x^2 * y^(-5 + 7) * x^(-6)

-24x^2 * y^2 * x^-6

-24x^(2 - 6) * y^2

-24x^-4 * y^2

So, the simplified expression is:

-24x^-4 * y^2

Explanation: