Multiplying Monomials: Key Concepts and Techniques

This video tutorial introduces the concept of monomials and explains how to multiply them. It covers the definition of a monomial, provides examples, and demonstrates the process of multiplying monomials. The tutorial also delves into the role of exponents in multiplication, offering examples and a shortcut method for adding exponents. The video concludes with a summary of key points and rules for multiplying monomials.

What is a monomial?

• A difference of variables

• A product of a number and variables

• A sum of variables

• A quotient of variables

What is the result of multiplying 5x and 3y?

• 5x+3y

• 15x+y

• 8xy

• 15xy

What is the result of multiplying 6p and -9q?

• -54pq

• 54pq

• -15pq

• 15pq

What is x times x?

• x^3

• x

• x^2

• 2x

What is the result of multiplying 3x and 8x?

• 11x

• 24x

• 24x^2

• 11x^2

What is the result of multiplying 2x^2 and -10x?

• -20x^2

• 20x^3

• 20x^2

• -20x^3

What is the result of multiplying 4a and 5a?

• 20a

• 9a

• 9a^2

• 20a^2

What is the result of multiplying 3a^2b and 7ab^2?

• 21a^2b^2

• 10a^3b^3

• 21a^3b^3

• 10a^2b^2

What is the result of multiplying 2x^2y^3 and 8x^3y^4?

• 10x^6y^7

• 16x^6y^7

• 10x^5y^7

• 16x^5y^7

What should you do first when multiplying monomials?

• Add the exponents

• Multiply the coefficients

• Subtract the exponents

• Divide the coefficients