Question

7²+7³×[(7⁴)⁹:7³⁴+7×7²⁷:7²⁶]:49

Answer 1

Raspuns: 735

Explicație pas cu pas:

Salutare !

$\bf {7}^{2}+{7}^{3}\cdot[( {7}^{4})^{9}:{7}^{34} +7\cdot{7}^{27}:{7}^{26} ]:49 =$

$\bf {7}^{2}+{7}^{3}\cdot( {7}^{4 \cdot9}:{7}^{34} +{7}^{27 + 1}:{7}^{26}): {7}^{2} =$

$\bf {7}^{2}+{7}^{3}\cdot( {7}^{36}:{7}^{34} +{7}^{28}:{7}^{26}): {7}^{2} =$

$\bf {7}^{2}+{7}^{3}\cdot( {7}^{36 - 34} +{7}^{28 - 26}): {7}^{2} =$

$\bf {7}^{2}+{7}^{3}\cdot( {7}^{2} +{7}^{2}): {7}^{2} =$

$\bf {7}^{2}+{7}^{3}\cdot 2 \cdot {7}^{2}: {7}^{2} =$

$\bf {7}^{2}+{7}^{3}\cdot2: 1 =$

$\bf {7}^{2}+{7}^{3}\cdot2 =$

$\bf {7}^{2} \cdot( {7}^{2 - 2} +{7}^{3 - 2}\cdot2)=$

$\bf {7}^{2} \cdot( {7}^{0} +{7}^{1}\cdot2)=$

$\bf {7}^{2} \cdot( 1+7\cdot2)=$

$\bf 49 \cdot( 1+14)=$

$\bf 49 \cdot15=$

$\boxed{\bf 735}$

==pav38==