Coefficient, literal part and normal form

Monomials · 2

From factors to normal form

A monomial is in normal form when it has one numerical coefficient and each variable appears once with its total exponent. To normalize it, separate numerical factors from variable factors.

Example

Formula matematica

Coefficients: 2 · 3 = 6
Literal part: x · x² · y = x³y
Normal form: 6x³y

Formula matematica

Rule

When multiplying powers with the same base, exponents are added. This rule applies because we are multiplying factors; it must not be transferred to sums of monomials.

What you need to know before the exercises

In this lesson: Separate coefficient and literal part and normalize a monomial.

You can already assume: What is a monomial and laws of exponents.

Practice

Write the monomial in normal form

Guided · 5 left

Completed attempts: 0/5 · Correct answers: 0

Use three steps

Multiply all numerical factors.
Group equal variables and add their exponents.
Rebuild the monomial with one coefficient and one power for each variable.

Formula matematica

Your competency map

What you need to know for Coefficient, literal part and normal form

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

Coefficient, literal part and normal form

From factors to normal form

Write the monomial in normal form

What you need to know for Coefficient, literal part and normal form

GUIDED LEARNING PATHS

Want to choose the next skill to develop?