How do I add two numbers with exponents?

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Homework Help Overview

The discussion revolves around the addition of expressions involving exponents, specifically the expression 2k+1 + 2k+1. Participants are exploring the properties of exponents in the context of basic algebraic operations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to approach the addition of identical exponential terms and consider the implications of combining like terms. There are attempts to relate the problem to simpler expressions, such as x + x.

Discussion Status

Some participants have provided guidance on recognizing the nature of the expression and applying properties of exponents. There is a sense of progression as participants build on each other's ideas, though no explicit consensus is reached regarding the final interpretation.

Contextual Notes

There is an emphasis on understanding the basic properties of exponents and the challenge of combining terms in the context of homework constraints. The discussion reflects a review of foundational concepts rather than a straightforward solution.

Instinctlol
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This is a really basic problem and I just need some review.
How do I add 2k+1 + 2k+1?

This is where I am stuck

212k+212k
 
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Think of it this way. Can you add
x + x?
y + y?
something + something?
This is what the expression
2k+1 + 2k+1
merely is. Once you get that, then you can use the appropriate property of exponents.
 
eumyang said:
Think of it this way. Can you add
x + x?
y + y?
something + something?
This is what the expression
2k+1 + 2k+1
merely is. Once you get that, then you can use the appropriate property of exponents.

Oh I see, so it would be..

2*2k+1 = 2k+2

and just another one for fun

2k+1+2k+1+2k+1+2k+1 = 4*2k+1 = 2*2*2k+1 = 2k+3

Does this seem correct?
 
Instinctlol said:
Oh I see, so it would be..

2*2k+1 = 2k+2

and just another one for fun

2k+1+2k+1+2k+1+2k+1 = 4*2k+1 = 2*2*2k+1 = 2k+3

Does this seem correct?
Not only does it seem correct, it is correct.
 
Cool thanks !
 

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