Question

Consider the expression ab2 and a2b2. Are the two expressions equivalent? Which properties did you use to prove or disprove the equivalency?

Answer 1

Let

`x=ab^(2) \\ y=a^(2)b^(2)`

we know that

if x and y are equivalent

then

`(x)/(y) =1`

so

Divide the value of x by y

`(x)/(y) = (ab^(2))/(a^(2)b^(2))= (1)/(a) \\\\ (1)/(a) \\eq 1`

therefore

The expressions are not equivalent