Question

The degree of the expression `4x^5y^mz` is `10`. What is the value of `m`?

Answer 1

`m=4`

Explanation:

The 'degree' of an expression is the sum of all the indices of the variables.

The following are all expressions of the third degree:

`5x^3," "8x^2y," "-5xyz," "xy^2`

If `4x^5y^mz` is an expression of the 10th degree, it means that:

`5 + m + 1 = 10" "larr zrArr z^1`

Therefore, `m=4`