Question

Calculati: 4^14-(6*4^13-2*2^26)

Answer 1

${4}^{14} - (6 \times {4}^{13} - 2 \times {2}^{26} )$

$={( {2}^{2} )}^{14} - [6 \times {( {2}^{2} )}^{13} - 2 \times {2}^{26} ]$

$= {2}^{2 \times 14} - (6 \times {2}^{2 \times 13} - 2 \times {2}^{26} )$

$= {2}^{28} - (6 \times {2}^{26} - 2 \times {2}^{26} )$

$= {2}^{28} - [ {2}^{26}(6 - 2) ]$

$= {2}^{28} - {2}^{26} \times 4$

$= {2}^{28} - {2}^{26} \times {2}^{2}$

$= {2}^{28} - {2}^{26 + 2}$

$= {2}^{28} - {2}^{28}$

$= 0$