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.

Front

What does it mean to divide monomials?

Back

Dividing monomials involves using the quotient rule, which states that when dividing like bases, you subtract the exponents.

Tags

CCSS.HSA.APR.D.6

Front

Simplify: 12a^8 ÷ 3a^3

Back

4a^5

Front

What is the quotient rule for exponents?

Back

The quotient rule states that a^m ÷ a^n = a^(m-n) for any non-zero base a.

Tags

CCSS.8.EE.A.1

Front

Simplify: x^5 ÷ x^2

Back

x^3

Front

What happens when you divide a variable by itself?

Back

When you divide a variable by itself (e.g., x ÷ x), the result is 1, provided x is not zero.

Front

Simplify: 15y^10 ÷ 5y^5

Back

3y^5

Front

What is y^0 equal to?

Back

y^0 is equal to 1 for any non-zero y.

Tags

CCSS.8.EE.A.1

Front

Simplify: (-20x^7y^5) ÷ (-4x^3y^2)

Back

5x^4y^3

Front

What is the result of dividing a number by zero?

Back

Dividing a number by zero is undefined.

Tags

CCSS.5.NBT.A.2