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 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: x^10 / x^5

Back

x^5

Front

Simplify: 5x^3y / 5xy^2

Back

x^2 / y

Front

Evaluate: g^20 / g^20

Back

1

Front

Simplify: 12a^5b^3 / 4a^2b

Back

3a^3b^2

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: 8m^4n^2 / 2m^2n

Back

4m^2n

Front

Evaluate: x^7 / x^7

Back

1

Front

Simplify: 15p^6q^4 / 5p^2q^2

Back

3p^4q^2