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
i don't understand

A is the correct option.

Step-by-step explanation:

The given expression is

We know that any number raised with zero power equals 1. Thus,

Hence, the expression becomes

Now, apply the quotient rule,

Using this rule, we have

Hence, the simplified expression is

A is the correct option.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4