Question

If the following is a monomial, write it in standard form.

is 6a^23b^2 an monomial?

Monomial; standard form: 18ab^2

Not a monomial.

Monomial; Standard form; 9a^2b^2

Monomial; Standard form: 18a^2b^2

Answer 1

The term 6a^23b^2 is a monomial and is already in standard form with variables in alphabetical order and correctly placed exponents.

Step-by-step explanation:

The term 6a^23b^2 is indeed a monomial because it is an algebraic expression that contains only one term. A monomial can have coefficients and variables, and the variables can have exponents, but there can be no addition or subtraction signs connecting multiple terms. To write it in standard form, we don't need to do any operations as it is already in that form with coefficients followed by variables in alphabetical order and their exponents written in superscript. So, the standard form of the given expression is already correct as 6a^23b^2.

Answer 2

Monomial; Standard form: 18a^2b^2

Step-by-step explanation:

`6 {a}^(2) 3 {b}^(2) = 6 * 3 {a}^(2) {b}^(2) = 18{a}^(2) {b}^(2) \\`