Multiplying and Dividing 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 bases.

Front

What is the product of 6r and 5r^2?

Back

The product is 30r^3.

Front

How do you divide two monomials?

Back

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

Front

What is the quotient of 25x^5 and 5x^3?

Back

The quotient is 5x^2.

Front

What is the simplified form of 54y^10 ÷ 6y^5?

Back

The simplified form is 9y^5.

Front

What is the result of dividing (-20x^7y^5) by (-4x^3y^2)?

Back

The result is 5x^4y^3.

Front

What is the product of 6x and 6x^3?

Back

The product is 36x^4.

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents.

Front

What is the rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents.