Monomial Operations and Exponents

The video tutorial explains the concepts of monomials, focusing on their multiplication and division. It begins with a definition of monomials, highlighting that they consist of numbers and variables multiplied together without addition or subtraction. The tutorial then demonstrates how to multiply monomials by breaking them into like terms and adding exponents. It also covers the power of a power rule, where exponents are distributed across terms. Finally, the video addresses dividing monomials, emphasizing the subtraction of exponents and handling negative exponents.

What is a monomial?

• A sum of numbers and variables

• A quotient of numbers and variables

• A product of numbers and variables

• A difference of numbers and variables

Which of the following is an example of a monomial?

• 7 - x

• 7x

• 7/x

• 7 + x

What is the first step in multiplying monomials?

• Subtract the exponents

• Divide the coefficients

• Add the coefficients

• Break them apart and combine like terms

When multiplying monomials, what do you do with the exponents?

• Divide them

• Multiply them

• Subtract them

• Add them

In the expression 2x^3 * -3x, what is the coefficient of the resulting monomial?

• 9

• -9

• 6

• -6

What is the result of multiplying 4m * 6m^2?

• 10m^3

• 24m^2

• 10m^2

• 24m^3

How do you handle exponents when raising a power to another power?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

What is the result of (2a^3)^3?

• 8a^9

• 6a^6

• 6a^9

• 8a^6

What is the first step in dividing monomials?

• Add the exponents

• Divide the coefficients

• Subtract the exponents

• Multiply the coefficients

When dividing monomials, what do you do with the exponents?

• Subtract them

• Multiply them

• Divide them

• Add them