Question

calculati:2 La puterea 50 ÷2 La puterea 45 +2 La puterea 50 - 2 la puterea 2 ×[64÷2 La puterea 5 + 2 la puterea 4 ÷(2 × 2 la puterea 5 - 2 la puterea 3 × 7)]

Answer 1

2⁵⁰ ÷2⁴⁵ +2⁵⁰ - 2² ×[64÷2⁵+ 2⁴ ÷(2 × 2⁵ - 2³ × 7)] =
=2⁵ +2⁵⁰ - 2² ×[2⁶÷2⁵+ 2⁴ ÷(2⁶ - 2³ × 7)]=
=2⁵ +2⁵⁰ - 2² ×(2+ 2⁴ ÷2³(2³- 7) =
=2⁵ +2⁵⁰ - 2² ×(2+ 2⁴ ÷2³(8- 7) =
=2⁵ +2⁵⁰ - 2² ×(2+ 2⁴ ÷2³) =
=2⁵ +2⁵⁰ - 2² ×(2+ 2) =
=2⁵ +2⁵⁰ - 2⁴ =
=2⁴(2-1) +2⁵⁰ =
=2⁴ +2⁵⁰ =
=2⁴(1+2⁴⁶)