Understanding Product Law of Exponents

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Product Law of Exponents

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a^m * a^n = a^(m+n)

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Base in Product Law

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Same base required

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Exponents in Product Law

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Add exponents

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Example: 2^3 * 2^4

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2^(3+4) = 2^7

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Simplifying 5^2 * 5^3

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5^(2+3) = 5^5

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General Form

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a^m * a^n = a^(m+n)

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Multiplying Powers

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Add exponents

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Key Concept

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Same base, add exponents

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Example: x^2 * x^5

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x^(2+5) = x^7

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Rule Application

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Only same bases