If (2000)^10 = 1.024 \times 10^k, then the value of k is

RRB Group D Model Paper 4 with solutions

Question : 86 of 100

Marks: +1, -0

(2000)^10 = 1.024 × 10^k

, then the value of k is

Solution:

(1)

(2000)^10 = 1.024 × 10^k

,
⇒

2^10 × 10^30

2^10/1000×10^k

2^10 × 10^{k-3}

hence,
k – 3 = 30
So, k = 33

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