How do you simplify #sqrt(x^2y^3)# and write it in exponential form?

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Answer 1 · 2016-02-18T18:26:53

#=color(blue)(x y^(3/2#

Square root represents half root .

So, #sqrt(x^2y^3) = (x^2y^3)^(1/2)#

By property:

#color(blue)(a^(m))^n = a^color(blue)(mn#

# (x^2y^3)^(1/2) = x^(2xx1/2) xx y^(3xx1/2#

#=x^(2/2) xx y^(3xx1/2#

#=x^1 xx y^(3/2#

#=x y^(3/2#