So Many Digits

Algebra Level 3

How many digits will the difference below have?

8 8 8 − 7 7 7 − 6 6 6 − 5 5 5 − 4 4 4 − 3 3 3 − 2 2 2 \large 8^{8^{8}} - 7^{7^{7}} - 6^{6^{6}} - 5^{5^{5}} - 4^{4^{4}} - 3^{3^{3}} - 2^{2^{2}}


The answer is 15151336.

Kaizen Cyrus by Kaizen Cyrus , 18, Philippines

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1 solution

Kyle T
Feb 25, 2019

wolfram the equation
it gives us back ~6.014*10^15151335, we need to add 1 to 15151335 (accounting for that first 6) to get our answer of 15151336

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