# Math Help - Homework question

1. ## Homework question

Is "7th root" (3 over 2x^3y^5) when simplified equal to "7th root" (192x^4y^2) over 2xy? I just finished this homework question and was wondering if it was right thanks

2. Hello,

Originally Posted by reddy9
Is "7th root" (3 over 2x^3y^5) when simplified equal to "7th root" (192x^4y^2) over 2xy? I just finished this homework question and was wondering if it was right thanks
$\sqrt[7]{\frac{3}{2x^3y^5}}=? \frac{\sqrt[7]{192 x^4y^2}}{2xy}$

$\frac{\sqrt[7]{192 x^4y^2}}{2xy}=\sqrt[7] {\frac{192x^4y^2}{2^7x^7y^7}}=\sqrt[7]{\frac{3}{2x^3y^5}}$

So the answer is ...

3. Originally Posted by reddy9
Is "7th root" (3 over 2x^3y^5) when simplified equal to "7th root" (192x^4y^2) over 2xy? I just finished this homework question and was wondering if it was right thanks
I'm missing your question, are you asking if

$\sqrt[7]{\frac{192x^4y^2}{2xy}}$

simplified is equal to

$\sqrt[7]{\frac{3}{2 x^3 y^5}}$ ???