Odpowiedź:
[tex]a)\ \ \dfrac{2^7\cdot5^6}{0,1^3\cdot100^5}=\dfrac{2^7\cdot5^6}{(\frac{1}{10})^3\cdot(10^2)^5}=\dfrac{2^7\cdot5^6}{10^{-3}\cdot10^1^0}=\dfrac{2^7\cdot5^6}{10^{-3+10}}=\dfrac{2^7\cdot5^6}{10^7}=\dfrac{\not2^7\cdot5^6}{5^7\cdot\not2^7}=\\\\=\dfrac{5^6}{5^7}=5^{6-7}=5^{-1}=(\frac{1}{5})^1=\frac{1}{5}[/tex]
[tex]b)\ \ 1,5^4\cdot2^5=1,5^4\cdot2^4\cdot2=(1,5\cdot2)^4\cdot2=3^4\cdot2=81\cdot2=162\\\\\\c)\ \ (-0,2)^{12}\cdot5^{12}\cdot(-1)^{13}=0,2^{12}\cdot5^{12}\cdot(-1)=(0,2\cdot5)^{12}\cdot(-1)=1^{12}\cdot(-1)=\\\\=1\cdot(-1)=-1\\\\\\d)\ \ 5,6\cdot10^{-4}=0,00056\\\\\\-1 < 0,00056 < \frac{1}{5} < 162[/tex]
