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 the exponents of like bases.

Front

What is the rule for dividing monomials?

Back

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

Front

What is the result of multiplying (3x^2)(4x^3)?

Back

The result is 12x^5.

Front

How do you simplify the expression 36x^5y^2 ÷ -9x^3y?

Back

The simplified expression is -4x^2y.

Front

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

Back

The product is -x^5y^3.

Front

What is the sum of the exponents when multiplying d^4 and d^5?

Back

The sum of the exponents is 9, so d^4 * d^5 = d^9.

Front

How do you simplify 54y^10 ÷ 6y^5?

Back

The simplified expression is 9y^5.

Front

What happens to the exponents when you divide x^m by x^n?

Back

When dividing, you subtract the exponents: x^m ÷ x^n = x^(m-n).

Front

What is the coefficient in the monomial -20x^7y^5?

Back

The coefficient is -20.