Question

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

Answer 1

Explanation

Given

$\frac{40x^{-2}y^{-3}z^0}{5x²y^{-4}z^{-2}}$

Therefore,

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

Answer:

$\frac{8yz^2}{x^4}$