SOLUTION: Can someone please tell me if you have a negative exponent for the denominator, do you put it to the numerator and make it positive. eg ((4x^1/4z^3/2)/3z)*((9x^3/4z^-1/2)/2x^-1). I

Algebra ->  Exponents -> SOLUTION: Can someone please tell me if you have a negative exponent for the denominator, do you put it to the numerator and make it positive. eg ((4x^1/4z^3/2)/3z)*((9x^3/4z^-1/2)/2x^-1). I      Log On


   



Question 842752: Can someone please tell me if you have a negative exponent for the denominator, do you put it to the numerator and make it positive. eg ((4x^1/4z^3/2)/3z)*((9x^3/4z^-1/2)/2x^-1). I need to simplify.
Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if the variable with the negative exponent is in the numerator, you place it in the denominator and make the exponent positive.

if the variable with the negative exponent is in the denominator, you place it in the numerator and make the exponent positive.

example:

5x^-2 / 7y^-3 will be equal to 5y^3 / 7x^2

the coefficients do not move because they are not being raised to the negative exponent, unless the whole thing was enclosed by a parentheses.

example:

(5x)^-2 / (7y)^-3 will be equal to (7y)^3 / (5x)^2


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Moving it and changing the sign is just a mnemonic, or a shortcut.
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eg
3%2Fx%5E-3
Multiply NUM and DEN by x^3
= 3x%5E3%2Fx%5E0
= 3x%5E3