How do you simplify #\frac { 5x ^ { - 1} y } { 10( x ^ { 5} y ^ { 4} ) ^ { - 3} }#?

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Answer 1 · 2017-07-31T23:15:58

#(x^14 y^13)/(2)#

#(5x^-1 y)/(10(x^5 y^4)^-3)#

#1/x^-2=x^2#, so:

#(5x^-1 y(x^5 y^4)^3)/(10)#

#(x^a)^b = x^(a*b)#, so:

#(5x^-1 y x^15 y^12)/(10)#

#x^a * x^b= x^(a+b)#, so:

#(5x^14 y^13)/(10)#

#(x^14 y^13)/(2)#