Question

2 la puterea 0 × 2 la puterea 1 × 2 la puterea 2×.... ×2 la puterea 99 × 2 la puterea 1000​

Answer 1

${2}^{0} \times {2}^{1} \times {2}^{2} \times ... \times {2}^{99} \times {2}^{1000} =$

$1 \times {2}^{1 + 2 + ... + 99} \times {2}^{1000} =$

${2}^{(99 \times 100) \div 2} \times {2}^{1000} =$

${2}^{4950} \times 2 ^{1000} = {2}^{4950 + 1000}$

$= {2}^{5950}$