Answer:
3/28
Step-by-step explanation:
Answer:
Option A.
Step-by-step explanation:
The given expression is
![\dfrac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B7%5D%7Bx%5E2%7D%7D%7B%5Csqrt%5B5%5D%7By%5E3%7D%7D)
where, 
.
We need to find the expression which is equivalent to the given expression.
The given expression can be rewritten as
![[\because \sqrt[n]{x}=x^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
![[\because (a^m)^n=a^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%5Em%29%5En%3Da%5E%7Bmn%7D%5D)
![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
Therefore, the correct option is A.
Okay, I know this looks intimidating but don't worry, it isn't that hard! All you need to do is take any two points on the line, we'll do (-3, 0) and (0,6), choose one to be x1 and y1, and then the other to be x2 and y2, it doesn't matter which one you decide to choose. We'll use (-3,0) as x1 and y1 then (0,6) as x2 and y2, now just use the formula, which is y2 - y1 / x2 - x1, to use this take y2(6) and y1(0) and subtract 6 - 0, which equals six. Then we'll use x2(0) - x1(-3) which equals 3, so now, you take y2 - y1 /x2 - x1 and turn it into 6/3, and you get two, hope this helped you!
