Homework Help: Algebra

Posted by Mattie on Monday, November 14, 2011 at 8:16pm.

Help please-I'm totally lost-

How would I simplify (2x^5 y^4 z^3/x^-1 y^5 z^5)^-1

Thank you for any help you can give me-I'm so stuck for my homeworkk tonight. I know I can bring up the negatives to top and negative to bottom to make them positive but besides that-I don't get it

Algebra - Steve, Tuesday, November 15, 2011 at 10:12am
Start out with the fraction as written. The wherever there is a negative exponent, swap between numerator and denominator:

(2x⁵y⁴z³/x^-1y⁵z⁵)^-1
Invert the fraction:
= x^-1y⁵z⁵/2x⁵y⁴z³
= y⁵z/2xxyz
= yz/2xyz

Now subtract exponents, leaving the larger portion where it is:

yz/2x
Algebra - Steve, Tuesday, November 15, 2011 at 10:14am
Oops. Lost track of the exponents:
...
y^5 z^5 / 2x^5 x^1 y^4 z^3
y^5 z^5 / 2x^6 y^4 z^3
yz^2/2x^6

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