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 3x^2 and 4x^3?

Back

The product is 12x^5.

Front

What is the coefficient in the monomial 7u^2v^5?

Back

The coefficient is 7.

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

Calculate the product of -5y^3 and 7y^2.

Back

The product is -35y^5.

Front

What is the result of multiplying 2n^4 by 5n^4?

Back

The result is 10n^8.

Front

If you multiply 7v^3 by 10u^3v^5, what is the resulting expression?

Back

The resulting expression is 70u^3v^8.

Front

What is the degree of the monomial 4x^5y^2?

Back

The degree is 7, which is the sum of the exponents (5 + 2).

Front

Define the term 'like terms' in the context of monomials.

Back

Like terms are monomials that have the same variable parts, meaning they can be combined by adding or subtracting their coefficients.