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:

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

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

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

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

$=x y^(3/2$

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