Question

The degree of the expression 4X^Y^\MZ is 10. What is the value of m?

Answer 1

value of m can be either 1, 2 or 5

Explanation:

The given expression is

`4x^{y^(mz)}`

Also, it is given that the degree of the expression is 10.

Degree of an expression is the highest value of the power of the terms in the expression.

So, here the power of the expression is 10.

w.k.t.,
`x^{a^(b)} = x^(ab)`

Simplifying the given expression we have,

`4x^{y^(mz)} = 4x^(ymz)`

Now, we have ymz = 10

Factorizing 10 gives 5*2*1.

Therefore, the three variables will have the values 1,2 or 5.