How do you simplify #(\frac { x } { x ^ { - \frac { 1} { 2} } } ) ^ { \frac { 1} { 4} }#?

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Answer 1 · 2017-03-27T15:01:01

#x^(3/8)#

#(x/(x^(-1/2)))^(1/4)#

#:.=(x^(1/4))/(x^(-1/2 xx 1/4))#

#:.=(x^(1/4))/(x^(-1/8))#

#:.=x^(1/4+1/8)#

#:.(1/4+1/8)/8#

#:.((2+1)/8)=3/8#

#:.=x^(3/8)#