How do you simplify #(x ^ { - \frac { 1} { 2} } y ^ { 0} ) ^ { \frac { 3} { 2} #?

1 Answer
Pallu
Sep 25, 2017

=#\frac{1} {(x^{\frac{3}{4} } )#

Explanation:

#(x ^ { - \frac { 1} { 2} } y ^ { 0} ) ^ { \frac { 3} { 2}#

=#(x ^ { - \frac { 1} { 2} } * 1 ) ^ { \frac { 3} { 2}# ---------as # a^0 =1#

=#(x ^ { - \frac { 1} { 2} } ) ^ { \frac { 3} { 2}#

=#(x^{- \frac { 1} { 2} } \times ^{\frac {3} {2}))# ------ #(a^m)^n = a^(mn) #

=#(x^{\frac { -3} { 4} } )# -------- #a^m = a^ \frac{-1}{m}#

=#\frac{1} {(x^{\frac{3}{4} } )#

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