Answer:
m=2 and n=3
Step-by-step explanation:
<u>Step</u> :-
Given ![[ 2 x^{n}y^{2} ]^m = 4 x^6 y^4](https://tex.z-dn.net/?f=%5B%202%20x%5E%7Bn%7Dy%5E%7B2%7D%20%5D%5Em%20%3D%204%20x%5E6%20y%5E4)
using algebraic formula 
now

now equating 'x' powers, we get

....(1)
now

Equating 'y' powers ,we get
2 m=4
m=2
substitute m= 2 in equation (1)
we get
2 n=6
n=3
verification:-
substitute m=2 and n=3 , we get
![[ 2 x^{n}y^{2} ]^m = 4 x^6 y^4](https://tex.z-dn.net/?f=%5B%202%20x%5E%7Bn%7Dy%5E%7B2%7D%20%5D%5Em%20%3D%204%20x%5E6%20y%5E4)


both are equating so m= 2 and n=3
In a group of 100 people, 2/5 prefer chicken soup, 4/10 prefer to eat hornado, and the rest prefer frying. What part of the group prefers frying ? How many people prefer each type of food ? (thank u google translate)...I guess
2/5 of 100 prefer chicken soup.....so thats 2/5 * 100 = 200/5 = 40 prefer chicken soup.
4/10 out of 100 prefer hornado (I dont even know what that is)...
4/10 * 100 = 400/10 = 40 prefer hornado.
and the rest prefer frying....100 - (40 + 40) = 100 - 80 = 20 (or 1/5) prefer frying
Answer:

Step-by-step explanation:
"And" indicates taking the <u>intersection</u> of two sets.
You want numbers that are in all three sets: multiples of 5, multiples of 2, and all 4-digit numbers.
Answer:
x=7
Step-by-step explanation:
6(7-5)=12