How do you rewrite with fractional exponents for #sqrt((4mn)/(a^2b^2))#?

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Answer 1 · 2018-03-06T13:08:17

#(2(mn)^(1/2))/(ab)#

Since we say that #sqrt(x)=x^(1/2)#, we can write the above as:

#(4mn)^(1/2)/(a^2b^2)^(1/2)#

Since #(xy)^z=x^zy^z#, we can write:

#(4^(1/2)m^(1/2)n^(1/2))/((a^2)^(1/2)(b^2)^(1/2))#

Some of these cancel out:

#(2m^(1/2)n^(1/2))/(ab)#, and to make this look nicer, we can write:

#(2(mn)^(1/2))/(ab)#