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

What does it mean to multiply monomials?

Back

Multiplying monomials involves multiplying their coefficients and adding their exponents when the bases are the same.

Front

Simplify: (-7y^2)(5y^4)

Back

-35y^6

Front

What is the quotient rule for exponents?

Back

The quotient rule states that when dividing two powers with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Front

Simplify: (36x^5y^2) ÷ (-9x^3y)

Back

-4x^2y

Front

What is the result of dividing monomials?

Back

When dividing monomials, divide the coefficients and subtract the exponents of like bases.

Front

Simplify: 54y^10 ÷ 6y^5

Back

9y^5

Front

What is the coefficient in a monomial?

Back

The coefficient is the numerical factor in a monomial, which multiplies the variable(s).

Front

How do you simplify the expression 2x^3 * 4x^2?

Back

8x^5 (Multiply coefficients: 2*4=8 and add exponents: 3+2=5).

Front

What happens to the exponent when you multiply x^a by x^b?

Back

The exponents are added: x^a * x^b = x^(a+b).