Question

Calculați:
(2×2²×2³×....×2¹⁰):2⁵³=?​

Answer 1

Explicație pas cu pas:

$(2 \times {2}^{2} \times {2}^{3} \times ... \times {2}^{10}) : {2}^{53} =$

$= {2}^{1 + 2 + 3 + ... + 10} : {2}^{53}$

$= {2}^{ \frac{10 \times 11}{2} } : {2}^{53} = {2}^{55} : {2}^{53}$

$= {2}^{55 - 53} = {2}^{2} = \bf 4$