Exponent Rules and Properties

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What is the result of raising a power to a power?

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When raising a power to a power, you multiply the exponents. For example, (d²)⁵ = d^(2*5) = d¹⁰.

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CCSS.8.EE.A.1

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CCSS.8.EE.A.1

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What is the value of any non-zero number raised to the power of 0?

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Any non-zero number raised to the power of 0 is equal to 1.

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CCSS.8.EE.A.1

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CCSS.HSA.APR.A.1

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CCSS.8.EE.A.1

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What happens when you multiply two powers with the same base?

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When multiplying two powers with the same base, you add the exponents. For example, x² * x³ = x^(2+3) = x⁵.

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CCSS.8.EE.A.1

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What happens when you divide two powers with the same base?

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When dividing two powers with the same base, you subtract the exponents. For example, x⁵ / x² = x^(5-2) = x³.

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CCSS.8.EE.A.1

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CCSS.8.EE.A.1

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CCSS.8.EE.A.1

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False, because 8^0 = 1.

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CCSS.8.EE.A.1