A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
243^2/5
anonymous
 5 years ago
243^2/5

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.09 as it is (243^1/5)^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah i figured it out

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[243^{2/5}=\sqrt[5]{243^2}\]\[\sqrt[5]{243^2}=\sqrt[5]{59049}\]\[\sqrt[5]{59049}=9\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326864018846:dw

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt[4]{x ^{16}y^4}=x^4y\]Take out 1 variable for every factor of 4.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326864378417:dw

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is that\[(x ^{1/2}y^3)^2\sqrt{x^2}\]?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes that is. sorry bad drawing

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We can split that up into two parts\[(x ^{1/2}y^3)^2\]And\[\sqrt{x^2}\]We'll do the first part, there's a rule\[(x^a)^b=x ^{a \times b}\]So...\[(x ^{1/2}y^3)^2=xy^6\]Also, when you have a square being square rooted they cancel out.\[\sqrt{x^2}=x\]Finally\[xy^6x=x^2y^6\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326865345268:dw so fill in the blank

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[256^{a/4}=4\]\[\sqrt[4]{256^a}=4\]\[(\sqrt[4]{256^a})^4=(4)^4\]\[256^a=256\]\[a=1\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326865703133:dw so for this what would be the steps

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[243{}^{\wedge}(2/5) = 9 \]\[243{}^{\wedge}2/5 = \frac{59049}{5} \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[225^{1/a}=15\]\[\sqrt[a]{225^1}=15\]Any number/variable to the 1 power is that number/variable.\[x^1=x\]\[387461873654^1=387461873654\]\[\sqrt[a]{225}=15\]\[(\sqrt[a]{225})^a=(15)^a\]\[225=15^a\]\[15 \times 15=225\]Therefore\[a=2\]
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.