How do you simplify #(6f^-2 g^3 h^5 )/(54f^-2 g^-5 h^3)#?

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Answer 1 · 2018-05-29T13:23:12

#(g^8h^2)/9#

Simplify all like terms:

#6/54=1/9#

#f^-2/(f^-2)=f^(-2- -2)=f^(-2+2)=f^0=1#

#g^3/(g^-5)=g^(3- -5)= g^(3 + 5) = g^8#

#h^5/h^3=h^(5-3)=h^2#

Put these together:

#(g^8h^2)/9#