2) a) 2^{5} : 2^{6}; б) 5 : 5^{-2}; в) 6^{-9} : 6^{-11}; г) \(\left\)\(\frac{1}{7}\right\)^{-3} : \(\left\)\(\frac{1}{7}\right\)^{-3}

Решение:

1. \( 2^{5} : 2^{6} = 2^{5-6} = 2^{-1} = \frac{1}{2} \)
2. \( 5 : 5^{-2} = 5^{1 - (-2)} = 5^{1+2} = 5^{3} = 125 \)
3. \( 6^{-9} : 6^{-11} = 6^{-9 - (-11)} = 6^{-9+11} = 6^{2} = 36 \)
4. \( \left(\frac{1}{7}\right)^{-3} : \left(\frac{1}{7}\right)^{-3} = \left(\frac{1}{7}\right)^{-3 - (-3)} = \left(\frac{1}{7}\right)^{0} = 1 \)

Ответ: 2) а) \(\frac{1}{2}\); б) 125; в) 36; г) 1.