Question

Compara (8 supra 125) la puterea 15 cu
(4/25)^22. cu rezolvare va rog mult!!!!!!

Answer 1

(8/125)¹⁵ = [(2/5)³]¹⁵ = (2/5)⁴⁵

(4/25)²² = [(2/5)²]²² = (2/5)⁴⁴

(2/5)⁴⁴ > (2/5)⁴⁵ => (4/25)²²>(8/125)¹⁵

Answer 2

pentru a putea face comparatie trebuie sa fie aduse la aceeasi putere sau aceeasi baza

$(\frac{8}{125})^{15} =(\frac{2^{3}}{5^{3}} )^{15} =(\frac{2}{5})^{45} \\ \\ (\frac{4}{25})^{22} =(\frac{2^{2}}{5^{2}})^{22} =(\frac{2}{5})^{44}$

$(\frac{8}{125})^{15} > (\frac{4}{25})^{22}$