Question
Simplificar. \[ \frac{u^{\frac{2}{5}}}{\frac{2}{3}} \] \( u^{\text {Escribir su respuesta utilizando solamente un exponente positivo. }} \) Asumir que la variable represenio un número real positivo.
Ask by Bowers Peterson. in Mexico
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\frac{3}{2}u^{\frac{2}{5}}
\]
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
Para simplificar la expresión \( \frac{u^{\frac{2}{5}}}{\frac{2}{3}} \), primero podemos reescribirla multiplicando por el recíproco de \( \frac{2}{3} \): \[ \frac{u^{\frac{2}{5}}}{\frac{2}{3}} = u^{\frac{2}{5}} \cdot \frac{3}{2} \] Así que podemos escribirlo como: \[ \frac{3}{2} u^{\frac{2}{5}} \] Por lo tanto, la respuesta simplificada utilizando solamente exponente positivo es: \[ \frac{3}{2} u^{\frac{2}{5}} \]