Odpowiedź:
[tex]1.\\\\A.\ \ 64^4:32^4=(64:32)^4=2^4=16\\\\B.\ \ (1\frac{1}{7})^{10}\cdot(\frac{7}{8})^{10}=(1\frac{1}{7}\cdot\frac{7}{8})^{10}=(\frac{\not8^1}{\not7_{1}}\cdot\frac{\not7^1}{\not8_{1}})^{10}=1^{10}=1\\\\C.\ \ (-0,7)^6:7^6=0,7^6:7^6=(0,7:7)^6=0,1^6=0,000001\\\\D.\ \ (-\frac{2}{17})^5:(\frac{1}{17})^5=-(\frac{2}{17}:\frac{1}{17})^5=-(\frac{2}{\not17}\cdot\not17)^5=-2^5=-32[/tex]
[tex]2.\\\\\dfrac{2^1^3}{5^8}\cdot\dfrac{625}{8^3}=\dfrac{2^1^3}{5^8}\cdot\dfrac{5^4}{(2^3)^3}=\dfrac{2^1^3}{5^8}\cdot\dfrac{5^4}{2^9}=2^{13-9}\cdot5^{4-8}=2^4\cdot5^{-4}=2^4\cdot(\frac{1}{5})^4=\\\\\\=(2\cdot\frac{1}{5})^4=(\frac{2}{5})^4[/tex]
