Question

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

A.) 1/x^2y^2
B.) y/x^6
C.) 4y^3/x^3
D.) y^3/2
Please help i don't understand

Answer 1

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

Answer 2

`(1)/(x^2y^(2))`

A is the correct option.

Explanation:

The given expression is
`(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

`(y^(-3))/(x^2y^(-1))`

Now, apply the quotient rule,
`(x^a)/(x^b)=x^(a-b)`

Using this rule, we have

`(1)/(x^2y^(-1-(-3)))`

`=(1)/(x^2y^(-1+3))`

`=(1)/(x^2y^(2))`

Hence, the simplified expression is
`(1)/(x^2y^(2))`

A is the correct option.