Cześć ;-)
Obliczenia
[tex](1\dfrac{1}{2})^3:(2\dfrac{1}{4})^3\cdot3^3=(1\dfrac{1}{2}:2\dfrac{1}{4}\cdot3)^3=(\dfrac{1\cdot2+1}{2}:\dfrac{2\cdot4+1}{4}\cdot3)^3=\\\\\\=(\dfrac{2+1}{2}:\dfrac{8+1}{4}\cdot3)^3=(\dfrac{3}{2}:\dfrac{9}{4}\cdot3)^3=(\dfrac{3}{2}\cdot\dfrac{4}{9}\cdot3)^3=\\\\\\=(\dfrac{12}{18}\cdot3)^3=(\dfrac{12}{6})^3=2^3=2\cdot2\cdot2=\huge\boxed8[/tex]
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Cześć!
[tex](1\frac{1}{2})^3 : (2\frac{1}{4})^3 \cdot 3^3 = (\frac{3}{2})^3 : (\frac{9}{4})^3 \cdot 3^3 = (\dfrac{\frac{3}{2}}{\frac{9}{4}})^3 \cdot 3^3 = (\dfrac{\not3\cdot \not4^2}{\not2 \cdot \not9 ^3})^3 \cdot 3^3 = (\frac{2}{3})^3 \cdot 3^3 =\\\\= (\frac{2}{\not3} \cdot \not3)^3 = 2^3 = 8[/tex]
Własności:
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