Exponents/Irrational numbers review

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What is the product of powers rule in exponents?

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When multiplying two powers with the same base, add 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 definition of a negative exponent?

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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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What does it mean when an exponent is zero?

Back

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

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What is the square root of a number?

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What is the definition of an irrational number?

Back

An irrational number cannot be expressed as a fraction of two integers; its decimal representation is non-repeating and non-terminating.