what if there is a parenthesis like this (2)^8^2? I thought it would be 2 16 , but the answer was 2 64. Why?

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what if there is a parenthesis like this (2)^8^2? I thought it would be 2¹⁶ , but the answer was 2^64.^Why?

Guest Mar 27, 2017

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Best Answer

\(2^{8^2}=2^{64}\)

Because 8² = 64

hectictar Mar 27, 2017

hectictar · Answer 1 · 2017-03-27T07:17:57

\(2^{8^2}=2^{64}\)

Because 8² = 64

Melody · Answer 2 · 2017-03-28T06:23:37

what if there is a parenthesis like this (2)^8^2? I thought it would be 2^16 , but the answer was 2^64.

This one threw me too.

WolframAlpha (this is a probably the most respected computational knowledge engine on the internet) agrees with hectictar.

It seems that when you are working with powers of powers you must have to start from the right and work backwards.

so

(2)^8^2 = (2)^64 That is something I must try and remember. I have been confused by this before. ://