Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.
3
it’s just how far away that number is from zero
remember that
![x^{\frac{a}{b}}=\sqrt[b]{x^a}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D)
also 
and 
so
first one, that one is clearly not equal since 0.25≠4
2nd one, 0.25=1/4, so 
, which matches
3rd one, ![\sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%7D%3D%5Csqrt%5B3%5D%7B4%5E2%7D%3D4%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
, which matches
4th one ![(\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4%7D%29%5E2%3D%284%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E2%3D4%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
which matches
answer is 
