Exponent Rules (Simple Laws of Exponents)

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What does x^5 mean?

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x⋅x⋅x⋅x⋅x

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CCSS.6.EE.A.1

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CCSS.HSA.APR.A.1

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What is the result of (3ab)^2?

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9a^2b^2

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CCSS.8.EE.A.1

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Simplify (-8r^5)(r^8).

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-8r^{13}

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What is the product rule for exponents?

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When multiplying like bases, add the exponents: a^m × a^n = a^(m+n).

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CCSS.8.EE.A.1

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What is the power of a power rule?

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

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CCSS.8.EE.A.1

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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.

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CCSS.8.EE.A.1

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What is the negative exponent rule?

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A negative exponent indicates the reciprocal: a^{-n} = 1/a^n.

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CCSS.8.EE.A.1

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CCSS.HSA.APR.A.1