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 product of 2a and 6a^2?

Back

The product is 12a^3.

Front

What is the product of d^4 and d^5?

Back

The product is d^9.

Front

How do you simplify the expression (-7y^2)(5y^4)?

Back

Multiply the coefficients (-7 * 5 = -35) and add the exponents of y (2 + 4 = 6), resulting in -35y^6.

Front

What is the result of multiplying 6m^3n^3 by 8m^2n^3?

Back

The result is 48m^5n^6.

Front

How do you divide monomials?

Back

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

Front

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

Back

The result is -4x^2y.

Front

What is the coefficient in the monomial 12a^3?

Back

The coefficient is 12.

Front

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

Back

The exponents are added together.