Question

Arătați că următoarele fracții ordinare sunt supraunitare 2 la puterea 51 supra 4 la puterea 25 3 la puterea 43 supra 9 la puterea 21​

Answer 1

Răspuns:

Explicație pas cu pas:

Salutare!

$\color{red}\boxed{\bf\dfrac{a}{b}\longrightarrow ~Fractie~Supraunitara,~daca~ a>b}$

$\color{Blue}\boxed{\bf\dfrac{a}{b}\longrightarrow ~Fractie~Echiunitara,~daca~ a=b}$

$\color{Magenta}\boxed{\bf\dfrac{a}{b}\longrightarrow ~Fractie~Subunitara~daca,~ a<b}$

I)

$\bf \dfrac{2^{51} }{4^{25}} = \dfrac{2^{51}}{2^{2\cdot25}}= \dfrac{2^{51}}{2^{50}} =\dfrac{2\cdot2^{50}}{2^{50}}=\dfrac{2\cdot\not2^{50}}{\not2^{50}}=\boxed{\bf\dfrac{2}{1}\longrightarrow ~Fractie~supraunitara}$

II)

$\bf \dfrac{3^{43}}{9^{21}} = \dfrac{3^{43}}{3^{2\cdot21}}= \dfrac{3^{43}}{3^{42}}=\dfrac{3\cdot 3^{42}}{3^{42}}=\dfrac{3\cdot\not3^{42}}{\not3^{42}}=\boxed{\bf\dfrac{3}{1}\longrightarrow ~Fractie~supraunitara}$

#copaceibrainly