Odpowiedź:
[tex]a)\ \ 3^9\cdot3^{-6}=3^{9+(-6)}=3^{9-6}=3^3=27\\\\b)\ \ 0,5^3\cdot0,5^7=0,5^{3+7}=0,5^{10}=(\frac{1}{2})^{10}=\frac{1}{1024}\\\\c)\ \ (2^5)^{-2}=2^{5\cdot(-2)}=2^{-10}=(\frac{1}{2})^{10}=\frac{1}{1024}\\\\d)\ \ (0,25^{-1})^{-4}=0,25^{-1\cdot(-4)}=0,25^4=(\frac{25}{100})^4=(\frac{1}{4})^4=\frac{1}{256}\\\\e)\ \ 5^{-9}:5^{-11}=5^{-9-(-11)}=5^{-9+11}=5^2=25[/tex]
[tex]f)\ \ 4:4^{-4}=4^1:4^{-4}=4^{1-(-4)}=4^{1+4}=4^5=1024\\\\g)\ \ 6^5:3^5=(6:3)^5=2^5=32\\\\h)\ \ 10^{10}:5^{10}=(10:5)^{10}=2^{10}=1024[/tex]
