Please help. I don't get this

How to do it fast and easy?
2000(2000^2000)

2 answers

It's basically 2000 multiplied by the product of 2000 x 2000, so

2000 x 2000 = 4000000
4000000 x 2000 = 8000000000
Magnus is not correct

2000(2000^2000) = 2000^2001

This number is unimaginably huge.

e.g.

2000^1 has 4 digits
2000^2 has 7 digits
2000^3 has 10 digits
2000^4 has 14 digits

for each increase of 4 in the exponent there are 10 extra digits in the answer.
2001/4 = appr 500

so there are about 5000 digits in the answer to
2000^2001
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