Question

Calculați
6 putere 42 deschidem paranteză 2 ^ 41 * 3 44

Answer 1

Explicație pas cu pas:

${6}^{42} ( {2}^{41} \cdot {3}^{44}) = {(2 \cdot 3)}^{42} \cdot ( {2}^{41} \cdot {3}^{44}) = {2}^{42} \cdot {3}^{42} \cdot {2}^{41} \cdot {3}^{44} = {2}^{42 + 41} \cdot {3}^{42 + 44} = \bf {2}^{83} \cdot {3}^{86}$

sau:

${6}^{42} ( {2}^{41} \cdot {3}^{44}) = {6}^{42} \cdot ( {2}^{41} \cdot {3}^{41} \cdot {3}^{3} ) = {6}^{42} \cdot {(2 \cdot 3)}^{41} \cdot {3}^{3} = {6}^{42} \cdot {6}^{41} \cdot {3}^{3} = {6}^{42 + 41} \cdot 27 = \bf 27 \cdot {6}^{83}$