The first, second one because they synchronization are proved to equally cause them to be similar
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
Answer:
x=-2
Step-by-step explanation:
To solve this equation, we can use PEMDAS or Order of Operations.
Parenthesis
Exponents
Multiplication>Division
Addition>Subtraction
Using the various properties can also help make the equation easier.
First, solve for parenthesis using the distributive property.
Our equation is now : 3/4x+3=1/4x+2
Now, subtract 2 on both sides, to cancel out the positive 2 on the right.
3/4x+1=1/4x
Now subtract 3/4x from both sides.
1=-2/4x
Finally, to isolate x, divide both sides by -2/4
1/-2/4=-2
x=-2
Hope this helps!