Question

Ex 4. Formula mai sus. Punctele f, g, h
Dau coroana. Mulțumesc! ​

Answer 1

$\it f)\ \dfrac{\overline{abab}}{\overline{cd}}:\dfrac{\overline{cdcd}}{\overline{ab}}=\dfrac{\overline{abab}}{\overline{cd}}\cdot\dfrac{\overline{ab}}{\overline{cdcd}} = \dfrac{\overline{ab00}+\overline{ab}}{\overline{cd}}\cdot\dfrac{\overline{ab}}{\overline{cd00}+\overline{cd}} =$

$= \dfrac{100 \overline{ab} +\overline{ab}}{\overline{cd}}\cdot \dfrac{\overline{ab}}{100\overline{cd}+\overline{cd}}=\dfrac{101\overline{ab}\cdot\overline{ab}}{101\overline{cd}\cdot\overline{cd}} =\Big(\dfrac{\overline{ab}}{\overline{cd}}\Big)^2$

$\it g)\ \ \dfrac{2^n\cdot3^{m+1}}{5^{p+2}}:\dfrac{2^{n+2}\cdot3^{m+1}}{5^p}=\dfrac{2^n\cdot3^{m+1}}{5^2\cdot5^{p}}\cdot\dfrac{5^p}{2^2\cdot2^n\cdot3^{m+1}} =\\ \\ \\ =\dfrac{1}{25\cdot4} =\dfrac{1}{100}$

$\it h)\ \ \dfrac{axy}{bzt}:\dfrac{ayz}{bxt} = \dfrac{axy}{bzt}\cdot \dfrac{bxt}{ayz} = \dfrac{x^2}{z^2}$