4. 21^122 + 4^62 +8^42+4^64 is divisible by the number?(hint: take
2122 outside)
A) B)11 C)7 D)17
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Answer:
B) 11
Step-by-step explanation:
2^122+4^62+8^42+4^64+2^130
=2^122+2^124+2^126+2^128+2^130
=2^122(1+2^2+2^4+2^6+2^8)
=2^122(1+4+16+64+256)
=2^122(341)
=2^122×31×11
which is divisible by 11
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