Obliczenia
[tex] {7}^{ \frac{4}{3} } \times \sqrt[3]{ {7}^{5} } = {7}^{ \frac{4}{3} } \times {7}^{ \frac{5}{3} } = {7}^{ \frac{4}{3} + \frac{5}{3} } = \\ \\ = {7}^{ \frac{4 + 5}{3} } = {7}^{ \frac{9}{3} } = {7}^{9 \div 3} = {7}^{3} = 343[/tex]
Wykorzystane wzory
[tex] \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } [/tex]
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
