Multiplying Monomials and Exponents

This video tutorial covers the multiplication of monomials, starting with a basic definition and moving through examples that illustrate the process. It reviews exponent properties and demonstrates how to handle variables in multiplication. The tutorial also explores advanced examples, highlights common mistakes, and emphasizes the importance of following rules for multiplying coefficients and adding exponents.

What is a monomial?

• An expression with one term

• An expression with two terms

• An expression with three terms

• An expression with no terms

Tags

CCSS.8.EE.A.1

What is the result of 5 squared times 5 to the fourth power?

• 5 to the 8th power

• 5 to the 6th power

• 5 to the 9th power

• 5 to the 7th power

When multiplying x times x, what is the result?

• x to the first power

• x to the fourth power

• x cubed

• x squared

Tags

CCSS.HSA.APR.A.1

What is the product of 4p^5 and 5p^3?

• 20p^15

• 9p^8

• 9p^15

• 20p^8

Tags

CCSS.HSA.APR.A.1

How do you handle negative coefficients when multiplying monomials?

• Multiply the coefficients and add the exponents

• Multiply as usual and keep the negative sign

• Ignore the negative sign

• Multiply the coefficients and subtract the exponents

Tags

CCSS.HSA.APR.A.1

What is the result of multiplying -9x^5 by -3x^107?

• 27x^112

• -27x^112

• 27x^102

• -27x^102

Tags

CCSS.HSA.APR.A.1

What mistake did the student make when they calculated 5x^3 times 4x^6 as 9x^18?

• They added the coefficients instead of multiplying

• They divided the coefficients instead of multiplying

• They subtracted the exponents instead of adding

• They multiplied the exponents instead of adding

Tags

CCSS.HSA.APR.A.1

What should you do with the exponents when multiplying monomials?

• Divide them

• Subtract them

• Multiply them

• Add them

Tags

CCSS.HSA.APR.A.1

What is the correct way to multiply 5x^3 by 4x^6?

• 9x^18

• 9x^9

• 20x^9

• 20x^18

Tags

CCSS.7.EE.A.1

Why is it important to use parentheses with negative coefficients?

• To separate the terms

• To ensure the negative sign is correctly applied

• To make the expression look neat

• To simplify the expression

Tags

CCSS.7.EE.A.1