Multiplying Monomials and Exponents

This video tutorial explains how to multiply monomials by focusing on multiplying coefficients and variables. It uses the commutative property to rearrange terms for easier calculation. The tutorial provides four examples, each demonstrating the multiplication of different monomial terms, including x, y, z, a, and b, with varying coefficients and exponents. The video emphasizes the importance of adding exponents when bases are the same and simplifying fractions when necessary.

What is the first step in multiplying monomials?

• Subtract the exponents

• Multiply the coefficients

• Divide the variables

• Add the coefficients

What property allows us to change the order of multiplication in monomials?

• Distributive Property

• Identity Property

• Associative Property

• Commutative Property

When multiplying x^2 and x^3, what is the resulting exponent of x?

• 2

• 6

• 3

• 5

How do you simplify the expression y^3 * y?

• y^5

• y^4

• y^3

• y^2

What is the result of multiplying the coefficients -4 and 2?

• 8

• 6

• -8

• -6

What is the result of multiplying -7z^5 and -5z^5?

• -35z^5

• -35z^10

• 35z^10

• 35z^5

How do you simplify the expression z^5 * z^5?

• z^25

• z^10

• z^15

• z^5

How do you express a^1 * a^2 in terms of a single power of a?

• a^4

• a^3

• a^2

• a^1

What is the simplified form of b^3 * b^5?

• b^6

• b^8

• b^15

• b^5

In the expression 2/3 * -9, what is the simplified coefficient?

• -3

• 6

• -6

• 3