Question

Which answer is equivalent to 25/36

Answer 1

Answer:

C.  $\sqrt{\frac{25}{36} }$

Step-by-step explanation:

This comes from the property of exponents which says for any numbers $a$, $b$, and  $c$,

$(a*b)^c=a^c*b^c$

Since square roots are just exponents of $\frac{1}{2}$ power ($\sqrt{x} =x^\frac{1}{2}$), and $\frac{1}{x} =x^{-1}$, we have

$\frac{\sqrt{25}}{\sqrt{36} }=25^{\frac{1}{2} }*36^{-\frac{1}{2} }=25^{\frac{1}{2} }*(36^{-1})^{\frac{1}{2} }=(25*(36^{-1})})^{\frac{1}{2}$

$=\sqrt{25*36^{-1}} =\sqrt{\frac{25}{36} }$

Which is choice C.

Answer 2

Answer:

the guy is correct

Step-by-step explanation:

i got it right on apex