Mastering Multiplication of Monomials

This video tutorial covers the multiplication of monomials, focusing on expanding expressions, applying exponent rules, and simplifying results. It explains how to multiply coefficients and use the product rule effectively. The tutorial also addresses complex problems and demonstrates combining like terms to achieve simplified answers. Key concepts include understanding the multiplication of monomials, applying exponent rules, and handling coefficients.

What does expanding ( x^4 ) mean?

• Multiplying x four times

• Dividing x by 4

• Adding x four times

• Multiplying x by 4

If you multiply ( x^4 ) and ( x^2 ), what is the result?

• x^8

• x^6

• x^2

• x^4

What is the shortcut for multiplying monomials with the same base?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

When multiplying ( a^4 ) and ( a ), what is the result?

• a^6

• a^3

• a^4

• a^5

How do you handle coefficients when multiplying monomials?

• Add the coefficients

• Subtract the coefficients

• Multiply the coefficients

• Divide the coefficients

What is the result of multiplying ( 3x^3 ) and ( 7x^2 )?

• 21x^5

• 10x^5

• 10x^6

• 21x^6

What is the result of multiplying ( -8m^7 ) and ( 2m^3 )?

• -16m^{10}

• 16m^4

• -16m^4

• 16m^{10}

How do you handle negative coefficients when multiplying monomials?

• Add the negative sign to the result

• Ignore the negative sign

• Subtract the negative sign from the result

• Multiply the coefficients and keep the negative sign

What is the result of ( 6x^5y^8 ) multiplied by ( -7x^2y^4 )?

• 42x^6y^{12}

• -42x^6y^{12}

• 42x^7y^{12}

• -42x^7y^{12}

When combining like terms, what should you do first?

• Add the coefficients

• Check if the variable parts are the same

• Subtract the coefficients

• Multiply the coefficients