Simplifying Exponential Expressions: x^b/x or x^(b-1)?

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SUMMARY

The discussion centers on simplifying the exponential expressions x^b/x and x^(b-1). The consensus is that x^(b-1) is the simpler form, as it directly represents the result of the division without additional operations. The expression x^b/x can be simplified to x^(b-1) through division, but it is considered less straightforward. This conclusion highlights the preference for expressions that minimize complexity in mathematical representation.

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Homework Statement



I was told to simplify and don't know which one is more "simple"

x^b/x or x^(b-1)?

Homework Equations





The Attempt at a Solution

 
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GreenPrint said:

Homework Statement



I was told to simplify and don't know which one is more "simple"

x^b/x or x^(b-1)?

Homework Equations





The Attempt at a Solution

IMO, xb - 1 is the simpler of the two expressions. In the other expression, there is an obvious division that could be performed.
 
thanks
 

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