[tex]0,5^6 \times 7 \times 2^6 = (0,5 \times2)^6 \times 7 = 1^6 \times 7 = 7\\ \\ 2^7 \times 3^3 \times 5^6 = 4^6 \times 3^3 \times 5^3 \times 5^3 \\ = 2 \times 2^3 \times 2^3 \times 4^3 \times 3^3 \times 5^3 \times 5^3 \\ = 2 \times (2 \times 2 \times 3 \times 5 \times 5)^3 \\ = 2 \times (10 \times 10 \times 3)^3\\ = 2 \times 3^3 \times 100^3\\ = 2 \times 27 \times 1000000\\ = 54000000[/tex]
[tex](\frac{1}{2})^3 +(\frac{2}{3})^3+(\frac{5}{6})^3\\ = (\frac{3}{6})^3 +(\frac{4}{6})^3+(\frac{5}{6})^3\\ = \frac{3^3 + 4^3 + 5^3}{6^3}\\ = \frac{27 + 64 + 125}{6^3}\\ = \frac{216}{216}\\ =1 [/tex]
En espérant t'avoir aidé.
