Operations with Monomials

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What is a monomial?

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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.

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How do you multiply monomials?

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To multiply monomials, multiply the coefficients and add the exponents of like bases.

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What is the power of a product rule?

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The power of a product rule states that when raising a product to a power, you can distribute the exponent to each factor: (ab)^n = a^n * b^n.

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What is the power of a power rule?

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The power of a power rule states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^{m*n}.

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What is the quotient of powers rule?

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The quotient of powers rule states that when dividing like bases, you subtract the exponents: a^m / a^n = a^{m-n}.

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When multiplying monomials, what should you do with the coefficients?

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Multiply the coefficients.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a sum.

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