Question

Write the units place of (i) (23)^1234 (ii) (37)^ 1243 (iii) (44) ^444

Answer 1

Answer:

Answer is 9 for first one.

I will try to explain for first do rest all by yourself.

Step-by-step explanation:

you can see for finding units place for n-digit number to the power of something, it is sufficient enough to find for unit digit in n-digit number.

so it is sufficient to solve for 3^1234.

now take fourth power of 3.

i.e (3^4)^308 × 3^2 I hope you understand this term.

now 3^4 = 81. As said before units digit of 81^308 similar to 1^308=1. rest is simply 3^2 which is equal to 9.