Easy exponent precalc problem. 4^(1+√2) * 4^(1-√2)

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    Exponent Precalc
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Homework Help Overview

The discussion revolves around simplifying the expression 4^(1+√2) * 4^(1-√2), which involves exponent rules in precalculus. Participants are trying to understand the correct approach to handle the exponents in this multiplication.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the FOIL method to the exponents, questioning whether to add or multiply them. Other participants are prompting clarification on the correct method for handling the exponents.

Discussion Status

The discussion is active, with participants exploring the correct approach to exponent multiplication. Some guidance has been offered regarding the misunderstanding of applying the FOIL method to exponents, indicating a productive direction in clarifying the topic.

Contextual Notes

There seems to be confusion regarding the application of exponent rules, as the original poster mentions differing results from the textbook. The discussion may be constrained by the original poster's understanding of exponent operations.

Jurrasic
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Can anyone do the steps to: 4^(1+√2) * 4^(1-√2)?
The book says it's 16, but I got 16^-1
steps:
foil exponents: that comes out to 1-2 ? Should it not be ?
then, just multiply the 4's, or do you add them?
 
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Jurrasic said:
foil exponents

This is your problem. What should you be doing to the exponents?
 
gb7nash said:
This is your problem. What should you be doing to the exponents?

can you rephrase that, what do you mean by that?
 
Jurrasic said:
can you rephrase that, what do you mean by that?

You're trying to foil the exponents. That indicates that you're multiplying them. What should you be doing instead to the exponents?
 
gb7nash said:
You're trying to foil the exponents. That indicates that you're multiplying them. What should you be doing instead to the exponents?

Got it thanks
 

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