How do you simplify #x^-1/(4x^4)# and write it using only positive exponents?

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Answer 1 · 2018-04-04T11:13:20

#1/(4x^5)#

#(x^-1)/(4x^4)# can be written as #x^(-1) * 1/(4x^4)#.

#x^-1# is the same as #1/(x^1)#, which is #1/x#.

this means that #(x^-1)/(4x^4) = 1/x * 1/(4x^4)#

#1/x * 1/(4x^4) = 1/(x * 4x^4)#

#x * 4x^4 = 4x^5#

#1/(x * 4x^4) = 1/(4x^5)#.

hence, #(x^-1)/(4x^4) = 1/(4x^5)#.