Q .Find the unit digit in (5³³ + 4⁷⁷ + 7⁷⁷ ).

STEP 1 :

As we know to calculate unit digit first of all we calculate 4 multiples of the numbers

so divide the power of the numbers with 4-

if we divide 33 with 4 then reminder will be 1 so the 1 multiple value of 5 is 5

33 / 4 = 8 * 4 + 1

so unit place for 5³³ = 5

if we divide 77 with 4 then reminder will be 1 so the 1 multiple value of 4 is 4

77 / 4 = 19 * 4 + 1

so unit place for 4⁷⁷ = 4

if we divide 77 with 4 then reminder will be 1 so the 1 multiple value of 7 is 7

77 / 4 = 19 * 4 + 1

so unit place for 7⁷⁷ = 7

STEP 2 :

Now add above calculated unit digit to calculate the final unit digit-

5 + 4 + 7 = 16

Unit digite is 6