Question

If (2000)^10=1.024×10^k, then the value of k is
Step by step explanation

Answer 1

Answer:

(2000)^10 = 1.024 × 10^k

(2^4 × 5^3)^10 = 1024 × 10^(k-3)

2^40 × 5^30 = 2^10 × 10^(k-3)

2^10 × 2^30 × 5^30 = 2^10 × 10^(k-3)

2^30 × 5^30 = 10^(k - 3)

10^30 = 10^(k-3)

As the base is same on both sides ,

30 = k-3

k = 33

Hope it helps mark as the brainliest

Answer 2

Answer:

here is your answer

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