potrzebne na juz. 15pkt.... Question from @jakubsawicki03082007

jakubsawicki03082007 @jakubsawicki03082007

April 2022 2 15 Report

potrzebne na juz. 15pkt

$5^{9}\cdot2^{9} = (5\cdot2)^{9} = 10^{9}:10^{5} = 10^{4}\cdot0,4^{4} = (10\cdot0,4)^{4} = 4^{4}:16^{4} = (\frac{4}{16})^{4} =\\\\= (\frac{1}{4})^{4} =\frac{1}{256}$

$\frac{2^{12}:(2^{5}\cdot2^{3})}{2^2}} = \frac{2^{12}:2^{8}}{2^{2}} = \frac{2^{4}}{2^{2}} = 2^{2} = 4$

Wyjaśnienie:

$a^{m}\cdot a^{n} = a^{m+n}\\\\a^{m}:a^{n} = a^{m-n}\\\\a^{n}\cdot b^{n} = (a\cdot b)^{n}$

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Anita13122007

Zad8.

$5 {}^{9} \times 2 {}^{9} = 10 {}^{9}$

$10 {}^{9} \div 10 {}^{5} = 10 {}^{4}$

$10 {}^{4} \times 0.4 {}^{4} = 4 {}^{4}$

$4 {}^{4} \div 16 {}^{4} = \frac{1}{256}$

Zad9.

$\frac{2 {}^{12} \div (2 {}^{5} \times 2 {}^{3}) }{2 {}^{2} } = \frac{2 {}^{12} \div 2 {}^{8} }{2 {}^{2} } = \frac{2 {}^{4} }{2 {}^{2} } = 2 {}^{2} = 4$

Mam nadzieję że pomogłam ❤️

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