Question

Write using only positive exponents. Reduce to lowest terms.40x^-2y^-3z^0 /5x²y^-4z^-2

Answer 1

Step-by-step explanation

Given

`(40x^(-2)y^(-3)z^0)/(5x²y^(-4)z^(-2))`

Therefore,

`\begin{gathered} (40x^(-2)y^(-3)z^0)/(5x^2y^(-4)z^(-2)) \\ =(5\cdot \:8x^(-2)y^(-3))/(5x^2y^(-4)z^(-2)) \\ =8x^(-2-2)y^(-3+4)z^(-2) \\ =8x^(-4)y^1z^(-2) \\ =(8y)/(x^4z^(-2)) \\ =(8yz^2)/(x^4) \end{gathered}`

Answer:

`(8yz^2)/(x^4)`