Odpowiedź: a) 7 b) - [tex]\frac{4}{9}[/tex] c) [tex]3^{5}[/tex]
Szczegółowe wyjaśnienie:
a) = [tex]5^{3} *\frac{2^{3} }{5^{3} } - \frac{81}{27} : 3[/tex] = [tex]2^{3} - 3:3[/tex] = 8 - 1 = 7
b) = (-1) : 0,25 - [- [tex]\frac{16}{3} + (\frac{4}{3})^{2}[/tex] ] = - 4 - [- [tex]\frac{48}{9} + \frac{16}{9}[/tex] ] = -4 - [ - [tex]\frac{32}{9}[/tex]] = - [tex]\frac{36}{9} + \frac{32}{9}[/tex] = - [tex]\frac{4}{9}[/tex]
c) = [tex]\frac{(\frac{1}{9} * 27)^{3} }{(\frac{1}{2} )^{6} }[/tex] : [tex]\frac{\frac{4}{9} }{\frac{1}{2} ^{4} }[/tex] = ([tex]3^{3}[/tex] * [tex]2^{6}[/tex]) : ( [tex]\frac{2^{2} }{3^{2} }[/tex] *[tex]2^{4}[/tex] ) = [tex]3^{3}[/tex] * [tex]2^{6}[/tex] * [tex]3^{2}[/tex] : [tex]2^{6}[/tex] = [tex]3^{5}[/tex]
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Odpowiedź: a) 7 b) - [tex]\frac{4}{9}[/tex] c) [tex]3^{5}[/tex]
Szczegółowe wyjaśnienie:
a) = [tex]5^{3} *\frac{2^{3} }{5^{3} } - \frac{81}{27} : 3[/tex] = [tex]2^{3} - 3:3[/tex] = 8 - 1 = 7
b) = (-1) : 0,25 - [- [tex]\frac{16}{3} + (\frac{4}{3})^{2}[/tex] ] = - 4 - [- [tex]\frac{48}{9} + \frac{16}{9}[/tex] ] = -4 - [ - [tex]\frac{32}{9}[/tex]] = - [tex]\frac{36}{9} + \frac{32}{9}[/tex] = - [tex]\frac{4}{9}[/tex]
c) = [tex]\frac{(\frac{1}{9} * 27)^{3} }{(\frac{1}{2} )^{6} }[/tex] : [tex]\frac{\frac{4}{9} }{\frac{1}{2} ^{4} }[/tex] = ([tex]3^{3}[/tex] * [tex]2^{6}[/tex]) : ( [tex]\frac{2^{2} }{3^{2} }[/tex] *[tex]2^{4}[/tex] ) = [tex]3^{3}[/tex] * [tex]2^{6}[/tex] * [tex]3^{2}[/tex] : [tex]2^{6}[/tex] = [tex]3^{5}[/tex]