Question

Use properties of exponents to simplify the expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero.(-2x^4 y^-4)(-5x^4 y^2)

Answer 1

Given:

The given expression is

`(-2x^4y^(-4))(-5x^4y^2)`

Required:

We have to simplify the given expression.

Step-by-step explanation:

We know that when the same variables are multiplied then their power will add. We use this and proceed as:

`\begin{gathered} (-2x^4y^(-4))(-5x^4y^2) \\ \\ =(-2)(-5)x^(4+4)y^(-4+2) \end{gathered}`
`=10x^8y^(-2)`

Final answer:

Hence the final answer is

`10x^8y^(-2)`