How do you simplify #(3x^(-1/2)*3x^(1/2)y^(-1/3))/(3y^(-7/4))#?

1 Answer
Barney V.
May 13, 2017

#3y^(17/12)#

Explanation:

#(3x^(-1/2)*3x^(1/2)y^(-1/3))/(3y^(-7/4)#

#:.=(9x^(-1/2+1/2)*y^(-1/3))/(3y^(-7/4))#

#:.=(cancel9^color(blue)3x^0*y^(-1/3))/(cancel3^color(blue)1y^(-7/4))#

#:.=(3*1*y^(-1/3))/y^(-7/4)#

#:.=3/y^(-7/4+1/3)#

#:.=color(blue)(3/(y^(-17/12)# #color(white)(aaaaaaaaaaaaa)# #-7/4+1/3=(-21+4)/12=color(blue)(-17/12#

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