Asked by Anonymous

What is the remainder when 10 to the 99 th power is divided by 9
Answered by Reiny
look for a pattern ...
10^0 ÷ 9 leaves a remainder of 1
10^1 ÷ 9 leaves a remainder of 1
10^2 ÷ 9 leaves a remainder of 1
10^3 ÷ 9 leaves a remainder of 1
....
10^99 ÷ 9 leaves a remainder of 1
Answered by Arnav
Let n be the exponent.
Formula- 10^n/9=1

Pattern can be n+1
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