A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Will fan and medal! Help please! Simplify. Express with positive exponents. Rationalize denominators.
(a^(4))/(a^(2))
anonymous
 one year ago
Will fan and medal! Help please! Simplify. Express with positive exponents. Rationalize denominators. (a^(4))/(a^(2))

This Question is Closed

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.5There's an interesting property of exponential expressions that allows us to express any negative exponent as a positive. That is: doing the reciprocate, or more visually: \[A ^{b}=\frac{ 1 }{ A^b }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so it could just be (a^4)/(a^2)? @Owlcoffee

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.5That's not correct, if we apply it: \[\frac{ a ^{4} }{ a ^{2} }\] Will turn into: \[\frac{ \frac{ 1 }{ a^4 } }{ \frac{ 1 }{ a^2 } }\] So all you have to do is simplify that.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I really dont know how to simplify that @owlcoffee

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.5When you deal with fractions inside a fraction you have to flip one and it turns into a multiplication: \[\frac{ \frac{ a }{ b } }{ \frac{ x }{ y } }=(\frac{ a }{ b })(\frac{ y }{ x })\]

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.5Can you move on from here?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay well (A^4)/(b^2) *(a^4)/(b^2)??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0COuld you tell me what i did wrong?

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.5Yes, when we make them into: \[\frac{ a ^{4} }{ a ^{2} }=\frac{ \frac{ 1 }{ a^4 } }{ \frac{ 1 }{ a^2 } }\] We already got rid of the negative expressions, so we will only focus n the right side of the expression I wrote you above, more clearly: \[\frac{ \frac{ 1 }{ a^4 } }{ \frac{ 1 }{ a^2 } }\] And we can simplify it using the property I stated to you earlier: \[\frac{ \frac{ 1 }{ a^4 } }{ \frac{ 1 }{ a^2 } }=(\frac{ 1 }{ a^4 })(\frac{ a^2 }{ 1 })\]

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.5Correct, nice effort.!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you! @Owlcoffee

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.5No problem, thats why I am here.
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.