A community for students.
Here's the question you clicked on:
 0 viewing
DJJo
 one year ago
Will give medal!
How do I simplify the square root of the fourth root of 8 in exponential form?
DJJo
 one year ago
Will give medal! How do I simplify the square root of the fourth root of 8 in exponential form?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{\sqrt[4]{8}}=\sqrt{8^{\frac{ 1 }{ 4}}}=(8^{\frac{ 1 }{ 4 }})^{\frac{ 1 }{ 2 }}=8^{\frac{ 1 }{ 8}}=(2^{3})^{\frac{ 1 }{ 8 }}=2^{\frac{ 3 }{ 8 }}\]

DJJo
 one year ago
Best ResponseYou've already chosen the best response.1But I'm confused on how you got that @peachpi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how is it confusing? things to power are multiplied with each other

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0square root is the same as the exponent ½ fourth root is exponent ¼

DJJo
 one year ago
Best ResponseYou've already chosen the best response.1@peachpi Would you mind if I ask you another question?

DJJo
 one year ago
Best ResponseYou've already chosen the best response.1How would I simply this expression in exponential form?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok. this is the same type of problem. How would you write the numerator with an exponent?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0exponents with bases being divided are subtracted eg. 3^(1/2) / 3^(1/4) = 3^ ((1/2)  (1/4))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah. Then √3 is also a part of the denominator so you can do this dw:1434904015717:dw

DJJo
 one year ago
Best ResponseYou've already chosen the best response.1So would the denominator be 3 and 1/8?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It would be 3^(1/4) because 1/2 * 1/2 = 1/4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434904157793:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now since the base is 3 on top and bottom you can subtract the exponents

anonymous
 one year ago
Best ResponseYou've already chosen the best response.01/4 since as I have explained before... exponents, with bases same being multiplied, are added

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434904205322:dw

DJJo
 one year ago
Best ResponseYou've already chosen the best response.1So 3 and 1/4 would be the answer right?

DJJo
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, that's what meant Thank you sooooo much @peachpi
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.