The video tutorial explains the concept of variable powers in mathematical terms, focusing on the distinction between like and unlike terms. It begins by discussing the power of variables in different terms and then introduces the types of terms: like and unlike. Through examples, the tutorial demonstrates how to identify like terms, which have the same variables with the same powers, and unlike terms, which have different variables or the same variables with different powers.

What is the power of X in the term 7xy?

• 0

• 3

• 2

• 1

In the term 17x^3y^2, what is the power of Y?

• 2

• 4

• 1

• 3

In the term 7xy, what is the power of Y?

• 2

• 1

• 0

• 3

What is the power of X in the term 17x^3y^2?

• 1

• 2

• 3

• 4

What defines like terms?

• Same variables with different powers

• Same variables with same powers

• Different variables with different powers

• Different variables with same powers

Which of the following pairs are like terms?

• 7xy and 15xy

• 3x^2y and 3xy^3

• 17x^3y^2 and 17xy^2

• 8xyz and 8xy

Why are 3x^2y and 3xy^3 considered unlike terms?

• They have the same variables but different powers

• They have different variables

• They have different constants

• They have the same powers but different variables

Which of the following pairs are unlike terms?

• 7xy and 7xy

• 3x^2y and 3xy^3

• 8xyz and 8xyz

• 17x^3y^2 and 17x^3y^2

Which of the following is an example of like terms?

• 3x^2y and 3xy^3

• 7xy and 15xy

• 8xyz and 8xy

• 17x^3y^2 and 17xy^2

What makes 8xyz and 8xy unlike terms?

• They have the same powers but different variables

• They have different variables

• They have different constants

• They have the same variables but different powers