Multiply and Divide Monomials

What is a monomial?

• A polynomial with only one term.

• A polynomial with two terms.

• A polynomial with three or more terms.

• A constant that cannot be expressed as a variable.

What is the significance of the degree of a monomial?

• It represents the number of variables in the monomial.

• It indicates the highest power of the variable, which is the sum of the exponents of its variables.

• It determines the coefficient of the monomial.

• It shows the relationship between the monomial and its factors.

How do you multiply two monomials?

• Multiply their coefficients and add the exponents of like bases.

• Multiply their coefficients and subtract the exponents of like bases.

• Add their coefficients and multiply the exponents of like bases.

• Add their coefficients and add the exponents of unlike bases.

What is the product of 2n^4 and 5n^4?

• 10n^8

• 7n^8

• 12n^8

• 15n^8

What is a coefficient in a monomial?

• A coefficient is a numerical factor in a monomial that multiplies the variable(s).

• A coefficient is the highest power of the variable in a polynomial.

• A coefficient is a constant term that does not change in value.

• A coefficient is the sum of all the variables in a monomial.

What is the rule for dividing monomials?

• To divide monomials, multiply their coefficients and add the exponents of like bases.

• To divide monomials, divide their coefficients and subtract the exponents of like bases.

• To divide monomials, add their coefficients and divide the exponents of like bases.

• To divide monomials, subtract their coefficients and add the exponents of like bases.

What is the value of (4^2)(4^2)?

• 4^2

• 4^3

• 4^4

• 4^5

What is the result of 8x^4 when simplified?

• 8x^4 is already in its simplest form.

• 8x^4 simplifies to 2x^2.

• 8x^4 simplifies to 16x^8.

• 8x^4 simplifies to x^4.

What is the exponent rule for dividing powers with the same base?

• Add the exponents.

• Multiply the bases.

• Subtract the exponents.

• Divide the bases.

What is the exponent rule for multiplying powers with the same base?

• When multiplying powers with the same base, subtract the exponents.

• When multiplying powers with the same base, multiply the exponents.

• When multiplying powers with the same base, add the exponents.

• When multiplying powers with the same base, divide the exponents.