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If $(2000)^{10}$=$1.024\times 10^{k}$., then the value of k is1). 332). 303). 344). 31 |
Answer» $(2^4 × 5^3)^{10} = 1024 × 10^{(k-3)}$ $2^{40} × 5^{30} = 2^{10} × 10^{k-3}$ $2^{10} × 2^{30} × 5^{30} = 2^{10} × 10^{k-3}$
$2^30 × 5^30 = 10^{k - 3}$ 10^30 = 10^{(k-3)}
As the base is same on both SIDES , 30 = k-3 k = 33 |
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