How do you solve #-5+ ( - 4- n ) ^ { - \frac { 3} { 2} } = - \frac { 39} { 8}#?

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Answer 1 · 2017-11-28T12:15:56

Solution: # n= -8 #

#-5 +(-4-n)^(-3/2) = -39/8# or

#1/(-(4+n)^(3/2)) = 5-39/8# or

#1/(-(4+n)^(3/2)) = 1/8# or

#-(4+n)^(3/2)=8 [ 4^(3/2)=8]#

#:. -(4+n)^(3/2)=4^(3/2)#

#:. -(4+n) = 4 or n= -4-4= -8#

Solution: # n= -8# [Ans]