how it's possible to get rid of the exponent k-1 and make it just k. How can you multiply 2x2k-1 and get 2x2k ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 40E
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5.6 problem 11 -> I attach a file. I can't understand how it's possible to get rid of the exponent k-1 and make it just k. How can you multiply 2x2k-1 and get 2x2k ?

= 2· 2k-1 + 2 · (-1) + 1 [Distributed property]
= 2k – 2 + 1
= 2k – 1 [Combine like terms]
Transcribed Image Text:= 2· 2k-1 + 2 · (-1) + 1 [Distributed property] = 2k – 2 + 1 = 2k – 1 [Combine like terms]
Expert Solution
Step 1

Recall the exponent property,

am·an=am+n.

That is, when bases are equal, add the powers.

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