# Algebra

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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 -

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 -

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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