Symbiosis National Aptitude Test SNAP 2015 Paper

Question : 17 of 150

Marks: +1, -0

What is the last digit in the expansion of

(2457)^{754}

Solution:

(2457)^{754}

We know that a unit digit of

(7)^4

is 1.
Unit digit of

(2457)^{754]

(2457)^{188 × 4 + 2}

(2457)^{188} × 4 . (2457)^2

→

[(2457)^4]^{188}. 9

→

(1)^{188}.9

→ 9

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