What would be the ones digit of 3 to the power of 125

Answer 1

3^125 is a very big number

= about 4.366735029 x 10^59 in scientific notation

trying to use a calculator won't help you find the last digit, as most all calculators don't provide answers with that many digits

they may not have a word to describe it like millions, trillions, etc. maybe bazillion? an amorphous number, referring to a very huge number

3^1 = 3

3^2 = 9

3^3 =27

3^4 = 81

3^5 = 243

then the last one's digit repeats, 3,9,7,1, 3,9,7,1

every 4th ending digit is the same

so pick one of the 4 digits, 1,3,7 or 9 and you're about 25% likely to be right

125/4 = 31 with remainder of 1

124 power will end in 1

125 will end in 3

divide the power by 4 and if it divides evenly the last digit is 1

remainder of 1, then it ends in 3

remainder of 2, it ends in 9

remainder of 3, it ends in 7

125 has remainder of 1, so 3^125 is a number whose last digit = 3