Odpowiedź :
8.
[tex]5^{9}\cdot2^{9} = (5\cdot2)^{9} = 10^{9}:10^{5} = 10^{4}\cdot0,4^{4} = (10\cdot0,4)^{4} = 4^{4}:16^{4} = (\frac{4}{16})^{4} =\\\\= (\frac{1}{4})^{4} =\frac{1}{256}[/tex]
9.
[tex]\frac{2^{12}:(2^{5}\cdot2^{3})}{2^2}} = \frac{2^{12}:2^{8}}{2^{2}} = \frac{2^{4}}{2^{2}} = 2^{2} = 4[/tex]
Wyjaśnienie:
[tex]a^{m}\cdot a^{n} = a^{m+n}\\\\a^{m}:a^{n} = a^{m-n}\\\\a^{n}\cdot b^{n} = (a\cdot b)^{n}[/tex]
Zad8.
[tex]5 {}^{9} \times 2 {}^{9} = 10 {}^{9} [/tex]
[tex]10 {}^{9} \div 10 {}^{5} = 10 {}^{4} [/tex]
[tex]10 {}^{4} \times 0.4 {}^{4} = 4 {}^{4} [/tex]
[tex]4 {}^{4} \div 16 {}^{4} = \frac{1}{256} [/tex]
Zad9.
[tex] \frac{2 {}^{12} \div (2 {}^{5} \times 2 {}^{3}) }{2 {}^{2} } = \frac{2 {}^{12} \div 2 {}^{8} }{2 {}^{2} } = \frac{2 {}^{4} }{2 {}^{2} } = 2 {}^{2} = 4[/tex]
Mam nadzieję że pomogłam ❤️