Question

(7 la putere 14 ori 5) la puterea 2 impartit la 7 la puterea 26​

Answer 1

Explicație pas cu pas:

${({7}^{14 \cdot 5})}^{2} : {7}^{26} = {({7}^{70})}^{2} : {7}^{26} = {7}^{70 \cdot 2} : {7}^{26} =$

$= {7}^{140} : {7}^{26} = {7}^{140 - 26} = \bf {7}^{114}$

sau:

${({7}^{14} \cdot 5)}^{2} : {7}^{26} = ({7}^{14 \cdot 2} \cdot {5}^{2} ) : {7}^{26} = ({7}^{28} \cdot {5}^{2} ) : {7}^{26} =$

$= {7}^{28 - 26} \cdot {5}^{2} = {7}^{2} \cdot {5}^{2} = {(7 \cdot 5)}^{2} = \bf {35}^{2}$