Question

Ajutati-ma va rog,trebuie sa aflu K pentru care Ek=a^4

Answer 1

[tex]E_k=a^4\\ (\sqrt a)^{18-k}\cdot \left(\dfrac{1}{\sqrt[3]{a}}\right)^k=a^4\\ a^{\frac{18-k}{2}}\cdot a^{-\frac{k}{3}}=a^4\\ a^{\frac{18-k}{2}-\frac{k}{3}}=a^4\\ \frac{18-k}{2}-\frac{k}{3}=4|\cdot 6\\ 3(18-k)-2k=24\\ 54-5k=24\\ 5k=30\\ \boxed{k=6}[/tex]