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)

Respuesta :

Given:

The given expression is

[tex](-2x^4y^{-4})(-5x^4y^2)[/tex]

Required:

We have to simplify the given expression.

Explanation:

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

[tex]\begin{gathered} (-2x^4y^{-4})(-5x^4y^2) \\ \\ =(-2)(-5)x^{4+4}y^{-4+2} \end{gathered}[/tex][tex]=10x^8y^{-2}[/tex]

Final answer:

Hence the final answer is

[tex]10x^8y^{-2}[/tex]