JEE Mains · Maths · STD 11 - 7. binomial theoram
Fractional part of the number \(\frac{4^{2022}}{15}\) is equal to
- A \(\frac{4}{15}\)
- B \(\frac{1}{15}\)
- C \(\frac{14}{15}\)
- D \(\frac{8}{15}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{15}\)
Step-by-step Solution
Detailed explanation
\(\left\{\frac{4^{2022}}{15}\right\}=\left\{\frac{2^{4044}}{15}\right\}\) \(=\left\{\frac{(1+15)^{1011}}{15}\right\}\) \(=\frac{1}{15}\)
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