How do you simplify #(81/16*p^8/q^-3)^(-3/4)#?

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Answer 1 · 2016-11-08T01:08:17

#=>((81p^8)/(16q^(-3)))^(-3/4)#

#=> ((16q^(-3))/(81p^8))^(3/4)#

#=>(16/(81p^8q^3))^(3/4)#

#=>(root(4)(16/(81p^8q^3)))^3#

#=> (2/(3p^2)root(4)(1/q^3))^3#

#=> 8/(27p^6) xx 1/q^(9/4)#

#=> 8/(27p^6q^(9/4))#

Hopefully this helps!