How do you simplify ( x^-3 y^ -5 )/z^-2?

1 Answer
Sep 5, 2016

(z^(2)) / (x^(3) y^(5))

Explanation:

We have: (x^(- 3) y^(- 5)) / (z^(- 2))

Let's express the variables as fractions:

= ((1) / (x^(3)) cdot (1) / (y^(5))) / ((1) / (z^(2)))

= ((1) / (x^(3) y^(5))) / ((1) / (z^(2)))

= ((1) / (x^(3) y^(5))) / ((1) / (z^(2))) cdot (z^(2)) / (z^(2))

= ((z^(2)) / (x^(3) y^(5))) / (1)

= (z^(2)) / (x^(3) y^(5))