Question

Salut, ma puteti ajuta si pe mine cu acest exercitiu, as aprecia mult! -------------------------------------------------------------------------------------------------- a) (3 supra 4) la puterea 100 x ( 2 supra 5 ) la puterea 200 x (25 supra 3) la puterea 100 Multumesc Anticipat.

Answer 1

Răspuns:

1

Explicație pas cu pas

Ce se cere:

Să se rezolve:

$(\frac{3}{4}) ^{100} * (\frac{2}{5})^{200} * (\frac{25}{3})^{100}=\\ \\ (\frac{3}{4} )^{100} * [(\frac{2}{5})^2]^{100} * (\frac{25}{3})^{100}=\\ \\ ({\frac{3}{4}) ^{100} * (\frac{4}{25})^{100} * (\frac{25}{3})^{100}=1$

Succes!

Answer 2

Răspuns:

Explicație pas cu pas:

$(\dfrac{3}{4})^{100}* (\dfrac{2}{5})^{200}*(\dfrac{25}{3})^{100}=(\dfrac{3}{4})^{100}* (\dfrac{2}{5})^{100+100}*(\dfrac{25}{3})^{100}=\\=(\dfrac{3}{4})^{100}* (\dfrac{2}{5})^{100}*(\dfrac{2}{5})^{100}*(\dfrac{25}{3})^{100}=\\=(\dfrac{3}{4}* \dfrac{2}{5}*\dfrac{2}{5}*\dfrac{25}{3})^{100}=(\dfrac{3}{4}* \dfrac{4}{25}*\dfrac{25}{3})^{100}=1^{100}=1$