Exponent Rules

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What is the product of powers rule in exponents?

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When multiplying two expressions with the same base, add the exponents: a^m * a^n = a^(m+n).

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What is the quotient of powers rule in exponents?

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When dividing two expressions with the same base, subtract the exponents: a^m / a^n = a^(m-n).

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What is the power of a power rule in exponents?

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When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

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What is the power of a product rule in exponents?

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When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

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What is the power of a quotient rule in exponents?

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When raising a quotient to a power, apply the exponent to both the numerator and the denominator: (a/b)^n = a^n / b^n.

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What does it mean to simplify an expression with exponents?

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To simplify means to rewrite the expression in a more compact form, often by applying exponent rules to combine like terms.

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What is the zero exponent rule?

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Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

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What is the negative exponent rule?

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A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.

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