Algebra
posted by Mattie on .
Help pleaseI'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 meI'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 thatI don't get it

Start out with the fraction as written. The wherever there is a negative exponent, swap between numerator and denominator:
(2x^{5}y^{4}z^{3}/x^{1}y^{5}z^{5})^{1}
Invert the fraction:
= x^{1}y^{5}z^{5}/2x^{5}y^{4}z^{3}
= y^{5}z^{}/2x^{}x^{}y^{}z^{}
= y^{}z^{}/2x^{}y^{}z^{}
Now subtract exponents, leaving the larger portion where it is:
yz^{}/2x^{} 
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