Chapter 4.2, Problem 10OE

a.

To determine

To State: The degree of each variable in the monomial $-2u^4{v}^6{w}^2$ .

Answer to Problem 10OE

The required answer is: degree of u is 4, v is 6 and w is 2.

Explanation of Solution

Given information:

The monomial $-2u^4{v}^6{w}^2$

Calculation:

The degree of a variable in a monomial is the number of times that the variable occurs as a factor in the monomial.

  $-2u^4{v}^6{w}^2$

The degree of u is 4.

The degree of v is 6.

The degree of w is 2.

b.

To determine

To State: The degree of the monomial $-2u^4{v}^6{w}^2$ .

Answer to Problem 10OE

The required degree of the monomial $-2u^4{v}^6{w}^2$ is 12.

Explanation of Solution

Given information:

The monomial $-2u^4{v}^6{w}^2$

Calculation:

The degree of monomial is the sum of the degrees of its variables.

  $-2u^4{v}^6{w}^2$

The degree of its variables u, v and w are 4, 6 and 2 respectively.

Therefore, the degree of the monomial $-2u^4{v}^6{w}^2$ is $4+6+2=12$ .