Question

How can I tell if an expression is an monomials or not? Examples?

Answer 1

Monomials contain only 1 different term.
like 5x , 7x^4 , 3 .

Answer 2

if there are 2 or more terms like x+x^2, 1+e^x .... then its not monomial

Answer 3

did u understand ?

Answer 4

Ehh, Not really. Just trying to take it in, along with the notes I have.

Answer 5

if number of terms = 1, then monomial.
more ex. : x^2 y^3, e^x

Answer 6

My teacher gave me this example...
Each monomial will have a value called its degree. The degree of any monomial is calculated by adding the exponents of its variables.
Ex: 2/3x^3y^5

But that doesn't make any sense. & I think your example confused me a little more :/

Answer 7

ok, i gave one example as x^2y^3 similar to this.
degree is the highest value of exponent, so here adding them, u get 2+3=5
so degree = 5, got it ?

Answer 8

Yes, that makes sense.

Answer 9

ok, so your teacher did not give u defination of monomial, just gave u how to find degree

Answer 10

now can u find degree of say, (x^2)(y^-4)(z^6) ?

Answer 11

in an expression the plus and minus signs are like knives, and if u have an expression with one plus sign means it is cut in two parts if no plus or minus sign means its only one part and so on, this part is called term in mathematical language

Answer 12

read this and tell wether u know what is term or not?

Answer 13

@ZakaullahUET ... I do understand what you said
@hartnn ... So the degree would be (2-4+6) = 4 or do I use multiplication?

Answer 14

no, thats correct, exponents get added, so 4.

Answer 15

Ohhh, ok. So if I have -4mn^7p^11... I would add 11 + 7 = 18. But what about the -4?

Answer 16

power(exponent) of m is 1.
so
1+7+11 = ?

Answer 17

19! Okkk, that makes sense!

Answer 18

glad to hear that :)
anymore doubts ?

Answer 19

No, Thank you!!