Multiplying and Dividing Monomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

Front

How do you multiply two monomials?

Back

To multiply two monomials, multiply their coefficients and add their exponents for like bases. For example, (3x^2)(4x^3) = 12x^(2+3) = 12x^5.

Front

What is the product of (-x^5)(y^3)?

Back

The product is -x^5y^3.

Front

What is the product of 2a and 6a^2?

Back

The product is 12a^3.

Front

How do you divide monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents for like bases. For example, (8x^4)/(2x^2) = 4x^(4-2) = 4x^2.

Front

What is 54y^10 ÷ 6y^5?

Back

The result is 9y^5.

Front

What is the product of (4x)(2x^2)?

Back

The product is 8x^3.

Front

What is the quotient of (36x^5y^2) ÷ (-9x^3y)?

Back

The quotient is -4x^2y.

Front

What happens to the exponents when multiplying monomials with the same base?

Back

When multiplying monomials with the same base, you add the exponents.

Front

What happens to the exponents when dividing monomials with the same base?

Back

When dividing monomials with the same base, you subtract the exponents.