Dividing Algebraic Expressions

This video tutorial explains how to divide algebraic terms, focusing on the laws of indices and providing examples. It covers dividing terms with the same base, handling negative exponents, and simplifying expressions with multiple variables. The tutorial emphasizes understanding the division of powers and the cancellation of terms.

What is the result of dividing 8m by 2?

• 2m

• 4m

• 6m

• 8m

How is the division sign often represented in algebra?

• As a plus

• As a minus

• As a multiplication

• As an over

What is the result of x^5 divided by x^2?

• x^10

• x^2

• x^7

• x^3

If y^5 is divided by y^8, what is the result?

• y^0

• y^3

• y^-3

• y^13

What is the simplified form of 15m^2 divided by 3m?

• 5m

• 5m^2

• 3m

• 15m

What is the result of 8x^4 divided by 2x^2?

• 4x^2

• 4x^6

• 8x^2

• 2x^2

How do you simplify 20x^3 divided by 4x^5?

• 5x^8

• 5x^-2

• 5x^2

• 5x^3

What is the result of 12x^4y divided by 2xy?

• 6x^3

• 6x^3y

• 6xy^3

• 6x^2y

What happens when you divide y by y?

• 1

• 0

• y

• y^2

What is the simplified form of 20x^8y^8 divided by 10x^3y^4?

• 2x^3y^4

• 2x^5y^4

• 2x^5y^8

• 2x^8y^4