sqrt(4^5, 3)*sqrt(4^2, 5)= sqrt(15^31,15) Richtig oder falsch ?

$\begin{align} \sqrt[3]{4^5}\cdot \sqrt[5]{4^2} &= 17,549\\ \sqrt[15]{15^{31}} &= 269,518 \end{align}$

Das ist offensichtlich nicht das Gleiche.

Was du zum Beispiel machen kannst, falls du das willst/sollst:

$(\sqrt[3]{4})^5 \cdot (\sqrt[5]{4})^2=17,549$

Sqrt (4 ^ 5, 3) * sqrt (4 ^ 2, 5) = sqrt (15 ^ 31.15)

First I just used the web2 calc and yo ucan see they are very different.

Sqrt (4 ^ 5, 3) * sqrt (4 ^ 2, 5) = 17.5491996751140154

sqrt (15 ^ 31.15) = 2077884291032316842.5644918698908105

$\sqrt [3]{4^5}*\sqrt[5]{4^2}\\ =4^{5/3}\;\;*\;\;4^{2/5}\\ =4^{25/15}\;\;*\;\;4^{6/15}\\ =4^{(25+6)/15}\\ =4^{(30/15+1/15)}\\\\ =4^{(31/15)}\qquad \text{as guest said :)}\\ or\\ =4^{(30/15)}*4^{(1/15)}\\ =16*4^{(1/15)}\\ =16*\sqrt[15]{4}\\ $