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 simplifying the expression by dividing the coefficients and subtracting the exponents of like bases.

Front

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

Back

When dividing powers with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Front

Simplify: 100m²n ÷ 20mn

Back

5m

Front

Simplify: 27a⁹ ÷ -3a³

Back

-9a⁶

Front

Simplify: 40x⁴ ÷ 8x

Back

5x³

Front

What is the coefficient in the expression 25x⁵?

Back

The coefficient is 25.

Front

What is the degree of the monomial 5x²y³?

Back

The degree is 5 (2 from x² and 3 from y³).

Front

Simplify: 25x⁵ ÷ 5x³

Back

5x²

Front

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

Back

The exponent becomes zero, resulting in 1 (e.g., x⁵ ÷ x⁵ = x^(5-5) = x⁰ = 1).