Răspuns: [tex] {7}^{6} [/tex]
Explicație pas cu pas:
[tex] 7 \times {7}^{16} \times {7}^{9} \div ( {7}^{4})^{5} = {7}^{6} \\ {7}^{1 + 16} \times {7}^{9} \div {7}^{4 \times 5} = {7}^{6} \\ {7}^{17} \times {7}^{9} \div {7}^{20} = {7}^{6} \\ {7}^{17 + 9} \div {7}^{20} = {7}^{6} \\ {7}^{26} \div {7}^{20} = {7}^{26 - 20} = {7}^{6} [/tex]
Formule aplicate
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {a}^{m} \div {a}^{n} = {a}^{m - n} \\ ( {a}^{m})^{n} = {a}^{m \times n} [/tex]
