Exploring Multiplication Properties of Exponents and Monomials

What is a monomial?

• A term that includes division by a variable.

• An expression with negative exponents.

• Any expression with one or more variables.

• A single term expression with non-negative integer exponents.

Which of the following is a monomial?

• x plus y

• x minus 2

• x divided by y

• 5h squared

Which expression is not a monomial?

• 7x^2

• 3y - 4

• 5

• 9z^3

Which of the following is true about dividing monomials?

• You can divide by a variable without restrictions.

• You can only divide by constants.

• Dividing by a variable introduces a negative exponent.

• Division changes the base of the monomial.

What does the product of powers rule state about exponents?

• Exponents of like bases are added.

• Exponents are multiplied.

• Exponents are divided.

• Exponents are subtracted.

If you have a^m * a^n, what is the result?

• a^(m/n)

• a^(m-n)

• a^(m*n)

• a^(m+n)

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

• x^9

• x^5

• x^8

• x^6

What does the power of a power rule imply?

• Exponents are added.

• Exponents are multiplied.

• Exponents are subtracted.

• Base numbers are multiplied.

If you have b^3 raised to the 5th power, what is the result?

• b^15

• b^8

• b^10

• b^2

What is the correct interpretation of 3a^2b^5c^3 all raised to the third power?

• 27a^6b^15c^9

• 9a^6b^15c^9

• 9a^5b^10c^6

• 27a^5b^10c^6