Question

4 la puterea 1 ×4 la puterea 2 ........... 4 la puterea 50

Answer 1

${4}^{1} \times {4}^{2} \times ... {4}^{50} = {4}^{1 + 2 + ... + 50}$

$= {4}^{ \frac{50(50 + 1)}{2} } = {4}^{ \frac{50 \times 51}{2} } = {4}^{25 \times 51} = {4}^{1275}$

$=({2}^{2})^{1275}={2}^{2 \times 1275}={2}^{2550}$