Question

Write X^-2y^0z^2/xy using only positive exponents

Answer 1

z^2/(x^3y)

Explanation:

We assume you want to simplify ...

`(x^(-2)y^0z^2)/(xy)=x^(-2-1)y^(0-1)z^2=x^(-3)y^(-1)z^2\\\\=\boxed{(z^2)/(x^3y)}`

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Comment on the given expression

What you have written is ...

(x^-2y^0z^2/x)y = yz^2/x^3

The order of operations requires that division and multiplication be done in the order of appearance, so a/xy means (a/x)y unless you put parentheses on the denominator product. Typesetting the expression lets you use the fraction bar for grouping, so parentheses are not needed when that form is used.