# What is #3 sqrt(x^2/y)# in exponential form?

##### 3 Answers

#### Explanation:

If you wanted to rationalize the denominator:

Exponent form:

#### Explanation:

Here,

The form with exponents is

#### Explanation:

Considering only Real valued square roots, we require:

#x^2/y >= 0#

Since

Note that

Note that if

So we find:

#3sqrt(x^2/y) = 3(sqrt(x^2))/(sqrt(y)) = 3abs(x)/y^(1/2) = 3abs(x)y^(-1/2)#