SOLUTION: I am trying to re-write the following expression using negative exponents: x^2/y^2 The book gives the answer as: y^-2/x^-2 How did they get this? All of the example pro

Question 28887: I am trying to re-write the following expression using negative exponents:
x^2/y^2
The book gives the answer as:
y^-2/x^-2
How did they get this? All of the example problems about writing equivalent expressions using negative exponents have been limited to single literals, often with the answer containing a 1 in the numerator.
Found 2 solutions by sdmmadam@yahoo.com, longjonsilver:
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
I am trying to re-write the following expression using negative exponents:
x^2/y^2
The book gives the answer as:
y^-2/x^-2
How did they get this? All of the example problems about writing equivalent expressions using negative exponents have been limited to single literals, often with the answer containing a 1 in the numerator.
Thr rule is
(a)^m = 1/(a)^(-m)
and (x)^(-n) = 1/(x)^n
Therefore
x^2/y^2 = [(x)^2]X[1/y^2]
=[1/x^-2]X[y^-2] (using the above)
=y^-2/x^-2

Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
is the same thing as ... whichever power you have as a "numerator", either positive or negative, the opposite version lies on the denominator.

so is the same thing as

and is the same thing as

hence is

jon.

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