Question

1. Calculati: [2+2²•2²²+2²⁰⁰:2¹¹⁹+2•(3³)¹⁰]:[1+2²³+2⁸⁰+3³⁰]-2+(5⁷)³​

Answer 1

Răspuns:

$[2+2^{2}*2^{22}+2^{200} :2^{119}+2*(3^{3} )^{10} ]: [1+2^{23}+2^{80}+3^{30}]-2+(5^{7} )^{3} \\\\\\=(2+2^{24}+2^{81} +2*3^{30} ): (1+2^{23}+2^{80}+3^{30})-2+5^{21} \\\\=2(1+2^{23}+2^{80} + 3^{30} ):(1+2^{23}+2^{80} +2*3^{30} )-2+5^{21}\\\\=2*1-2+5^{21}\\\\=5^{21}$

Explicație pas cu pas: