Multiplying and Dividing Monomials

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.

To multiply two monomials, multiply their coefficients and add the exponents of like bases. For example, (2x^3)(3x^2) = 6x^(3+2) = 6x^5.

$$-15x^{10}$$ .

$$12a^5b^6z^6$$ .

$$90x^5y^6$$ .

$$6x^5$$ .

$$12a^3$$ .

When multiplying powers with the same base, add the exponents. For example, $$x^m \times x^n = x^{m+n}$$ .

The coefficient is $$-4$$ .

To divide monomials, divide their coefficients and subtract the exponents of like bases. For example, $$\frac{6x^5}{2x^2} = 3x^{5-2} = 3x^3$$ .