Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2

As per the statement:

Elizabeth claims that the fourth root of 2 can be expressed as 2^m

"fourth root of 2" means

then;

On comparing both sides we get;

Since, it is also given:

Solve for n;

then;

On comparing both sides we get;

Multiply 4 both sides we get;

n = 4

Therefore, value of m and n are and 4

Answer with explanation:

Statement: Elizabeth claims that the fourth root of 2 can be expressed as

Explanation:  

This is Possible only when

So, 2 can be expressed as in terms of fourth power:

c. (3,2,6) is the answer.