0 votes 0 votes find the last digit of (100008)^12500? Quantitative Aptitude quantitative-aptitude general-aptitude discrete-mathematics + – viral8702 asked Jan 2, 2022 viral8702 952 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes Given: (100008)^12500 Now, 8^1=8 8^2=64 8^3=512 8^4=4096 8^5=32768….. So, observe the value at units place, it is repeating after 4 numbers. So, now 12500 mod4 =0 So, it is divisible by 4. Hence, unit place will have 6. _nirbha_ answered Jan 3, 2022 _nirbha_ comment Share Follow See 1 comment See all 1 1 comment reply viral8702 commented Jan 4, 2022 reply Follow Share yes thank you 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Is it 6 ? Divide the exponent by 4 and get the reminder and raise it to the unit digit of the base s_dr_13 answered Jan 3, 2022 s_dr_13 comment Share Follow See all 2 Comments See all 2 2 Comments reply viral8702 commented Jan 4, 2022 reply Follow Share here reminder will be 0 so won't it be like 8^0? because generally we raise the reminder 0 votes 0 votes viral8702 commented Jan 4, 2022 reply Follow Share yes 0 votes 0 votes Please log in or register to add a comment.