Dividing Monomials and Exponents

In this video, Daniel Carreón introduces the concept of dividing monomials, starting with basic definitions and rules. He explains that a monomial is an algebraic expression with a single term and demonstrates how to divide them by subtracting exponents of like variables. Through a series of examples, he illustrates the process of dividing monomials with different complexities, including handling negative exponents and simplifying results. The video concludes with practice exercises for viewers to solve.

What is a monomial?

• A polynomial with three terms

• An expression with a single term

• An expression with multiple terms

• An equation with two variables

When dividing monomials with the same base, what operation is performed on the exponents?

• They are divided

• They are added

• They are subtracted

• They are multiplied

What is the result of dividing 20x^5 by 4x^2?

• 4x^3

• 5x^2

• 5x^3

• 4x^2

In the expression 30a^2b^6 divided by 10ab^4, what is the coefficient of the result?

• 2

• 3

• 4

• 5

What happens to the variable 'n' when dividing 8m^7n^6 by 2m^5n?

• It becomes n^5

• It becomes n^1

• It is eliminated

• It becomes n^6

How do you express 4x^-5 in a positive exponent form?

• 1/4x^5

• 4x^5

• 4/x^5

• x^5/4

What is the result of dividing 45m^7n by 15mn?

• 3m^6

• 3mn

• 3m^6n

• 3m^7

What is the result of dividing 15a^2b^6c by 3a^2b^6c?

• 0

• 1

• 15

• 5

What is the result of dividing 16x^3 by 4x^8?

• 4x^5

• 4/x^5

• x^5/4

• 1/4x^5

How do you express 15b^-3 in a positive exponent form?

• 1/15b^3

• b^3/15

• 15b^3

• 15/b^3