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Multiplying monomials

Mathematics — first biennium · Monomials

Monomials · multiplication

Multiply coefficients, add exponents of equal bases

To multiply two monomials, multiply the coefficients using the correct sign rule; then add exponents for every variable that appears in both factors. Variables that appear in only one factor remain in the result with their exponent.

Formula matematica

−2 · 3 = −6; x² · x = x³; y · y³ = y⁴.

Key rule
Formula matematica

When multiplying powers with the same base, the exponents are added, not multiplied.

What you need to know before the exercises

In this lesson: Multiply monomials by combining coefficients and adding exponents of powers with the same base.

You can already assume: Normal form, laws of exponents and sign rules.

Try it now

Reduce the product to normal form

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

Guide
  1. Calculate the coefficient first, including the sign.
  2. For each equal variable, add the exponents.
  3. Write the result in normal form.
Formula matematica
Formula matematica

Write the result as you would on paper, for example 6x³y².

Your competency map

What you need to know for Multiplying monomials

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

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

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