If m = n, then property 1 in Theorem 1 implies that a n a n =

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If m = –n, then property 1 in Theorem 1 implies that a^–naⁿ = a⁰ = 1. Explain how this helps motivate the definition of a^–n.

Data from Theorem 1

THEOREM 1 Exponent Properties For n and m integers and a and b real numbers, 1. ama" = am+n 2. (an) m = amn m

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Finite Mathematics For Business Economics Life Sciences And Social Sciences

ISBN: 9780134862620

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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Question Posted: Dec 30, 2023 11:02 PM

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If m = n, then property 1 in Theorem 1 implies that a n a n =

Question:

THEOREM 1 Exponent Properties For n and m integers and a and b real numbers, 1. ama" = am+n 2. (an) m = amn m 3. (ab) = ambm 4. m = am b b am 5. = am-n = q" b = 0 an-m a = 0 a³ a3 = a8+(-3) = a (a ²)² = a³(-2) = a6 (ab) ² = a ²6-² (3)³ = a² = a² 65 1 a²-(-3) = 10

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Detailed Explanation In the expression a n where mn property 5 in theorem 1 states that a mn 1a nm I...View the full answer

Finite Mathematics For Business Economics Life Sciences And Social Sciences

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