Prove each of the following for every positive integer n. Use steps (a)(e) as in Exercises. (ab)

Question:

Prove each of the following for every positive integer n. Use steps (a)–(e) as in Exercises.

(ab)ⁿ = aⁿbⁿ

(Assume a and b are constant.)

Steps

Let Sn represent the given statement, and use mathematical induction to prove that Sn is true for every positive integer n. Follow these steps.

(a) Verify S₁.

(b) Write S_k .

(d) Assume that Sk is true and use algebra to change S_k to S_k+1.

(e) Write a conclusion based on Steps (a) – (d).

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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Prove each of the following for every positive integer n. Use steps (a)(e) as in Exercises. (ab)

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S is the statement ab ab Assume that a and b are constant a Verify the statement for n 1 S is ...View the full answer

College Algebra

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