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Using binomial theorem, evaluate : (99)^...

Using binomial theorem, evaluate : `(99)^5`

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To evaluate \( 99^5 \) using the binomial theorem, we can express \( 99 \) as \( 100 - 1 \). Hence, we need to evaluate \( (100 - 1)^5 \). ### Step-by-Step Solution: 1. **Identify the Binomial Expansion**: The binomial theorem states that: \[ (x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k ...
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Knowledge Check

  • Using binomial theorem, the value of (0.999)^3 correct to 3 decimal places is

    A
    (a) `0.999`
    B
    (b) `0.998`
    C
    (c) `0.997`
    D
    (d) `0.995`
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