Question

Help help please give you 20 points

Answer 1

The right answer is Option D:$\frac{9x^2}{y^2}$

Step-by-step explanation:

Given expression is;

$(\frac{3x^{(\frac{1}{2})}y^{(-\frac{1}{2})}}{x^{(\frac{1}{2})}y^{(-\frac{1}{2})}})^2$

The exponent of the expression will be multiplied with the exponents of variables and constant.

$(\frac{(3)^2x^{\frac{1}{2}*2}y^{-\frac{1}{2}*2}}{x^{-\frac{1}{2}*2}y^{\frac{1}{2}*2}})\\\\(\frac{9x^{1}y^{-1}}{{x^{-1}y^1}})$

For making the powers positive, we will bring y in denominator and x in numerator.

$\frac{9x^{1+1}}{y^{1+1}}\\\\\frac{9x^2}{y^2}$

The right answer is Option D:$\frac{9x^2}{y^2}$

Keywords: multiplication, exponent

Learn more about exponents at:

• brainly.com/question/8811218
• brainly.com/question/884169

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