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Mathematics 18 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

Do you know the definition of degree first off?

OpenStudy (anonymous):

Isn't degree the number on top?

OpenStudy (anonymous):

@doulikepiecauseidont

jimthompson5910 (jim_thompson5910):

With a monomial like this one (that has more than one variable), you add the exponents to get the degree of the monomial.

OpenStudy (anonymous):

so m would be 2? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

4x^5 * y^m * z is the same as 4x^5 * y^m * z^1

OpenStudy (neer2890):

The degree of a polynomial is the highest degree of its terms, when the polynomial is expressed in canonical form (i.e., as a linear combination of monomials) for e.g.\[7x ^{2}y ^{3}\] . It has a degree of 5 (the sum of the powers 2 and 3).

jimthompson5910 (jim_thompson5910):

add the exponents: 5+m+1 set this equal to 10 because we want the degree to be 10 5+m+1 = 10 solve for m

OpenStudy (anonymous):

ahhhh so its 4 :D @jim_thompson5910 Thanks everyone for answering

jimthompson5910 (jim_thompson5910):

correct

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