Multiplying and Dividing Monomials

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

To multiply two monomials, multiply their coefficients and add their exponents for like bases.

To divide two monomials, divide their coefficients and subtract the exponents of like bases.

The power of a monomial is the result of raising the monomial to an exponent, which involves raising both the coefficient and the variable to that exponent.

The coefficient is the numerical factor in a monomial, which can be a whole number, fraction, or decimal.

Divide the coefficients (25/5 = 5) and subtract the exponents of like bases (5 - 3 = 2), resulting in 5x^2.

Multiply the coefficients (3 * 10 = 30) and add the exponents (2 + 7 = 9), resulting in 30c^9.

The quotient rule states that when dividing like bases, you subtract the exponent of the denominator from the exponent of the numerator.

Multiply the coefficients (1 * 1 = 1) and add the exponents (4 + 5 = 9), resulting in d^9.

Multiply the coefficients (6 * 6 = 36) and add the exponents (1 + 3 = 4), resulting in 36x^4.