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 exponents.

Front

What is the quotient rule for exponents?

Back

The quotient rule states that when dividing two powers with the same base, you subtract the exponents: a^m ÷ a^n = a^(m-n).

Front

Simplify: 6r^8 ÷ 2r^3

Back

3r^5

Front

Simplify: 12x^10y^6 ÷ 3x^4y^2

Back

4x^6y^4

Front

What happens to the exponent when you divide a variable by itself?

Back

When you divide a variable by itself, the exponent becomes zero: x^n ÷ x^n = x^(n-n) = x^0 = 1.

Front

Simplify: 54y^10 ÷ 6y^5

Back

9y^5

Front

What is the result of dividing a monomial by a monomial?

Back

The result is a monomial, obtained by dividing the coefficients and subtracting the exponents of like bases.

Front

Simplify: 15a^7 ÷ 5a^2

Back

3a^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

Simplify: 8x^5y^3 ÷ 4xy^2

Back

2x^4y