Question

Cum se rezolva știe cineva?

Answer 1

${[ {2017}^{0} + {( {3}^{2}) }^{20} \div {( {3}^{13}) }^{3} ]}^{30} \div {8}^{20}$

$={ ( 1 + {3}^{2 \times 20} \div {3}^{13 \times 3} )}^{30} \div {( {2}^{3} )}^{20}$

$={ (1 + {3}^{40} \div {3}^{39} )}^{30} \div {2}^{3 \times 20}$

$= {(1 + {3}^{40 - 39} )}^{30} \div {2}^{60}$

$={ (1 + {3}^{1} )}^{30} \div {2}^{60}$

$={ (1 + 3)}^{30} \div {2}^{60}$

$= {4}^{30} \div {2}^{60}$

$= {( {2}^{2}) }^{30} \div {2}^{60}$

$= {2}^{ 2\times 30} \div {2}^{60}$

$= {2}^{60} \div {2}^{60}$

$= 1$