# Powers

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If 9^9^9 is written out in the usual manner, how many digits will be needed?

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:58 pm ad1c9bdddfhttps://brainmass.com/math/algebra/digits-represent-power-21523

#### Solution Preview

Assume that your question is (9^9)^9 which is equal to 9^81. Using Maple, we can get

9^81=196627050475552913618075908526912116283103450944214766927315415537966391196809

which includes 78 digits.

But if your question is 9^(9^9)=9^387420489, then the answer is not clear. I try to get it by using Maple ...

#### Solution Summary

How many digits will it take to represent 9^9^9 power is determined. The user manners are found.

$2.49