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# Rules for simplifying exponents to multiple exponents?

1. Such as the difference between say:

2(^2^3)^4 vs 2^2^(3^4) for example

how do i know which is bigger
2. (Original post by KloppOClock)
Such as the difference between say:

2^(2^3)^4 vs 2^2^(3^4) for example

how do i know which is bigger
normally just making inequalities off like for like comparisons

i.e.

the left term becomes 2^2^(3*4) = 2^2^12
the right becomes 2^2^81
12<81 therefore the left term < the right term
3. (Original post by MathMoFarah)
normally just making inequalities off like for like comparisons

i.e.

the left term becomes 2^2^(3*4) = 2^2^12
the right becomes 2^2^81
12<81 therefore the left term < the right term

so the general idea is to multiply inside the brackets and then compare to see which is largest?
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4. (Original post by KloppOClock)
so the general idea is to multiply inside the brackets and then compare to see which is largest?
Get them all in the same form (in this case 2^n)

for instance c would become 2^(9^3)=2^729

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