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

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To solve the expression 4^(1+√2) * 4^(1-√2), the correct approach involves adding the exponents rather than foiling them. This leads to 4^((1+√2) + (1-√2)), simplifying to 4^2, which equals 16. The confusion arose from misapplying the multiplication of exponents. The final answer is indeed 16, confirming the book's solution. Understanding how to properly manipulate exponents is crucial for accurate calculations.
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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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