Find the ten’s digit of 74288

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Question

Find the ten’s digit of

74^{288}

Options:

A . 3

B . 6

C . 7

D . 8

Answer: Option C
:
C
Ans. (c)

74^{288} = (37 \times 2)^{288}

(refer demo tutorial for last 2 digits technique)

37^{288} \times 2^{288}

(37^{4})^{72} \times (2)^{288}

(37^{2} \times 37^{2})^{72} \times (__56)

(69 \times 69)^{72} \times (__56)

(__61)^{72} \times (__56)

(__21) \times (__56) =__76.

answer is 7

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