Question

What is the simplified from of 72x^16/50x36 assume x =/=0

Answer 1

6/5x^10 because after you get the answer 36/25x^10 you get the square root which is also half 

Answer 2

Remember:
$\sqrt{x}=x^\frac{1}{2}$
$\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$   $\sqrt{ab}=(\sqrt{a})(\sqrt{b})$ $(a^b)^c=a^{bc}$ $\frac{x^m}{x^n}=x^{m-n}$ $x^{-m}=\frac{1}{x^m}$(ab)/(cd)=(a/c)(b/d)

also remember PEMDAS
so

$\sqrt{\frac{72x^{16}}{50x^{36}}}$
simplify inside sqrt first
$\frac{72x^{16}}{50x^{26}}=$  $(\frac{72}{50})(\frac{x^{16}}{x^{36}}=$  $(\frac{36}{25})(x^{16-36})=$
$(\frac{36}{25})(x^{-20})=$

now $\sqrt{(\frac{36}{25})(x^{-20})}=$  $(\sqrt{\frac{36}{25}})(\sqrt{x^{-20}}=$  $(\frac{\sqrt{36}}{\sqrt{25}})((x^{-20})^\frac{1}{2})=$  $(\frac{6}{5})(x^{-10})=$  $(\frac{6}{5})(\frac{1}{x^{10}})=$  $\frac{6}{5x^{10}}$  answer is first option