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Grade 11Algebra

What will be the digits in the units place for the value of (23)^14

Profile image of sundeep 93
16 Years agoGrade 11
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear sundeep

to know digit at unit place we do not need whole number

just take the digit at unit place ie 3

                digit at unit place

3^1 =                  3

3^2 =                  9

3^3 =                 7

3^4=                  1

3^5=                  3

 

digit at unit place is periodic of period 4

 

digit at unit place for 23)^14  =is same as digit at unit place for 3^2

that is 9


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Badiuddin