Multiplying Monomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants 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 variables.

Front

What is the product of 6m^3n^3 and 8m^2n^3?

Back

The product is 48m^5n^6.

Front

What is the product of 7v^3 and 10u^3v^5?

Back

The product is 70u^3v^8.

Front

What is the result of multiplying (2a^2b^4z) and (6a^3b^2z^5)?

Back

The result is 12a^5b^6z^6.

Front

What is the product of 10xy^3 and 8x^5y^3?

Back

The product is 80x^6y^6.

Front

According to exponent rules, what happens to the exponents when multiplying expressions with the same base?

Back

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

Front

What is the coefficient in the monomial 5x^3y^2?

Back

The coefficient is 5.

Front

What is the degree of the monomial 4x^2y^3?

Back

The degree is 5, which is the sum of the exponents (2 + 3).

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more monomials.