If (27)^999 is divided by 7, then the remainder is:

If (27)^999 is divided by 7, then the remainder is:
(a) 1 (b) 2
(c) 3 (d) 6
Binomial Theorem

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In elementary algebra, the binomial theorem (or binomial expansion) is describing the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial (x + y)n into a sum involving terms of the form axbyc, here exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. For example (for n = 6),
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[utkarshgautam]

27 ≡ -1 (Mod 7)
Implies that 27⁹⁹⁹ ≡ (-1)⁹⁹⁹ (Mod 7)
Implies that 27⁹⁹⁹ ≡ -1 (Mod 7)
Implies remainder = -1+7 = 6

[metaheisenberg]

pen ka cap kholte kholte hi video khatam ho gaya

[yuef]

7×4 = 28.. now 27⁹⁹⁹ when divided by 28 will give (-1)⁹⁹⁹ remainder. As the power is an odd number the resultant will be again -1 but remainder should never remain -1 . We minus it with the actual divisor 7. So 7-1 = 6

[proudtobeindian]

Padhhao aisa ki 4 log samajh bhi na payein

[AmlanSarkar-wrpr]

I didn't understand why Sir didn't use congruence modulo direct ans a jata

[abhibansal]

You need very high skills to understand this 😂🔥

[Fernandes-jmuu]

Please, How to Solve this EXERCISE?
WHEN (2^24 - 1) IS DIVIDED BY 7, THE REMAINDER IS? Thank You Very Much.

[prathamdandir]

Trick : divide 999 by 4, you'll get the remainder 3. Now 27³ = 19683. Divide 19683 by 7 you'll get the remainder 6 👍🏻

[Cricket_Stories]

Find the remainder when 3^26 is divided by 10 using Euler's Theorem.

[abhishekpratapsingh]

Kya baat hai master.👌

Vedic math padha di aapne to...

[AnilKumar-dsrd]

What are u saying
Not understanding you😮

[Mohit-jvzp]

Was doubtful about this type of question but you explain it to me very quickly thank you sir

[PriDeep-hefk]

Sar mujhe aapse koi kuchh question puchna hai uska jawab do description link mein

[ravinegi]

😂😂😂😂😂sir i liked the part where you taught the method😂

[Himanshu_Trichy]

Yeh toh lag rha raat ke aaye the question bola khuch kiya khuch aur answer aa gya 😂😂😂

[PriDeep-hefk]

Sar mujhe aapse ek question puchna hai

[varun]

bhai modular arithmetic pdh lo in trick waalo se badiya.

[DakshKolhe]

Iske karan jo meko aata tha mai wo bhi bhil gaya