Question

☆☆☆☆NEED HELP☆☆☆☆



Answer these 2 questions *WITH EXPLANATION*.

Answer 1

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○  Basic Simplification ←

→ 27 ) Refer to the Attachment ... Your desired answer = Option B
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→ 28 ) ( 37 )^x = ( 30 + 7 )^x 

♦ ( 30 + 7 )^x → will always expand with terms including ( 30 ) raised to some power

So, we are basically concerned with the units digit of : [ 7 ]³ˣ - [ 3 ]³ˣ
=> The unit's digit of : [ 343 ]ˣ - [ 27 ]ˣ

=> The unit's digit of : [ 3 ]ˣ - [ 7 ]ˣ
 
♦ By hit-and-trial, you can conclude that :
 → [ 3 ]² - [ 7 ]² ends with  :  0
 → [ 3 ]³ - [ 7 ]³ ends with  :  4
 → [ 3 ]⁴ - [ 7 ]⁴ ends with  :  0
 → [ 3 ]⁵ - [ 7 ]⁵ ends with  :  6

So, the answer can be : None of these
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