Question
If $(2000)^10 = 1.024 × 10^k$, then the value of k is
Answer: Option A
Answer:(d)$(2000)^10 = 1.024 × 10^k$$(2×10^3)^10=1024/1000×10^k$$2^10×10^30=1024×10^{k-3}$$2^10×10^30=2^10×10^{k-3}$30 = k - 3 ⇒ k = 33
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Answer:(d)$(2000)^10 = 1.024 × 10^k$$(2×10^3)^10=1024/1000×10^k$$2^10×10^30=1024×10^{k-3}$$2^10×10^30=2^10×10^{k-3}$30 = k - 3 ⇒ k = 33
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