Question

Simplify: x^0y^-3/x^2y^-1

Answer 1

The answer is a 1/x^2y^2

Answer 2

Answer:

$\frac{1}{x^2y^{2}}$

A is the correct option.

Step-by-step explanation:

The given expression is $\frac{x^0y^{-3}}{x^2y^{-1}}$

We know that any number raised with zero power equals 1. Thus, $x^0=1$

Hence, the expression becomes

$\frac{y^{-3}}{x^2y^{-1}}$

Now, apply the quotient rule, $\frac{x^a}{x^b}=x^{a-b}$

Using this rule, we have

$\frac{1}{x^2y^{-1-(-3)}}$

$=\frac{1}{x^2y^{-1+3}}$

$=\frac{1}{x^2y^{2}}$

Hence, the simplified expression is $\frac{1}{x^2y^{2}}$

A is the correct option.