A community for students.
Here's the question you clicked on:
 0 viewing
james1769
 one year ago
Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a rational exponent. Make sure you respond with complete sentences.
james1769
 one year ago
Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a rational exponent. Make sure you respond with complete sentences.

This Question is Closed

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1please keep in mind that the radical: \[\sqrt[3]{{{x^4}}}\] can be rewritten as below: \[{x^{4/3}}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1it is the definition of powers with rational exponent

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now, if I apply the rule of power of power, we can write this: \[\huge{\left( {\sqrt[3]{{{x^4}}}} \right)^5} = {\left( {{x^{4/3}}} \right)^5} = {x^{5 \cdot \frac{4}{3}}} = {x^{\frac{{20}}{3}}}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large {\left( {\sqrt[3]{{{x^4}}}} \right)^5} = {\left( {{x^{4/3}}} \right)^5} = {x^{5 \cdot \frac{4}{3}}} = {x^{\frac{{20}}{3}}}\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.