Simplifying $ left(frac{sqrt[4]{a^3b}-sqrt[4]{ab^3}}{asqrt{b}-bsqrt{a}}right)^{-4} $ [on hold]












-1














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How does this expression simplify?
$$
left(frac{sqrt[4]{a^3b}-sqrt[4]{ab^3}}{asqrt{b}-bsqrt{a}}right)^{-4}
$$
The answer is: $ab$ .






algebra-precalculus







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put on hold as off-topic by Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile

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  • Try to write $a=A^4$ and $b=B^4$ for some "better variables" $A,B$. How does it look now?
    – dan_fulea
    2 days ago












  • Some people downvoted immediately, since there is no effort shown, no context given in the question. Please fill in some details, show the own understanding...
    – dan_fulea
    2 days ago










  • Wow, this is fascinating! I would never think of this approach. Thank you so much!
    – ToTheSpace 2
    yesterday


















-1














enter image description here



How does this expression simplify?
$$
left(frac{sqrt[4]{a^3b}-sqrt[4]{ab^3}}{asqrt{b}-bsqrt{a}}right)^{-4}
$$
The answer is: $ab$ .






algebra-precalculus







share|cite|improve this question









New contributor




ToTheSpace 2 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Try to write $a=A^4$ and $b=B^4$ for some "better variables" $A,B$. How does it look now?
    – dan_fulea
    2 days ago












  • Some people downvoted immediately, since there is no effort shown, no context given in the question. Please fill in some details, show the own understanding...
    – dan_fulea
    2 days ago










  • Wow, this is fascinating! I would never think of this approach. Thank you so much!
    – ToTheSpace 2
    yesterday
















-1












-1








-1







enter image description here



How does this expression simplify?
$$
left(frac{sqrt[4]{a^3b}-sqrt[4]{ab^3}}{asqrt{b}-bsqrt{a}}right)^{-4}
$$
The answer is: $ab$ .






algebra-precalculus







share|cite|improve this question









New contributor




ToTheSpace 2 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











enter image description here



How does this expression simplify?
$$
left(frac{sqrt[4]{a^3b}-sqrt[4]{ab^3}}{asqrt{b}-bsqrt{a}}right)^{-4}
$$
The answer is: $ab$ .






algebra-precalculus




algebra-precalculus






share|cite|improve this question









New contributor




ToTheSpace 2 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




ToTheSpace 2 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 2 days ago









Blue

47.7k870151




47.7k870151






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asked 2 days ago









ToTheSpace 2

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161




New contributor




ToTheSpace 2 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





ToTheSpace 2 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






ToTheSpace 2 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, José Carlos Santos, Nosrati, KM101, Théophile

If this question can be reworded to fit the rules in the help center, please edit the question.












  • Try to write $a=A^4$ and $b=B^4$ for some "better variables" $A,B$. How does it look now?
    – dan_fulea
    2 days ago












  • Some people downvoted immediately, since there is no effort shown, no context given in the question. Please fill in some details, show the own understanding...
    – dan_fulea
    2 days ago










  • Wow, this is fascinating! I would never think of this approach. Thank you so much!
    – ToTheSpace 2
    yesterday




















  • Try to write $a=A^4$ and $b=B^4$ for some "better variables" $A,B$. How does it look now?
    – dan_fulea
    2 days ago












  • Some people downvoted immediately, since there is no effort shown, no context given in the question. Please fill in some details, show the own understanding...
    – dan_fulea
    2 days ago










  • Wow, this is fascinating! I would never think of this approach. Thank you so much!
    – ToTheSpace 2
    yesterday


















Try to write $a=A^4$ and $b=B^4$ for some "better variables" $A,B$. How does it look now?
– dan_fulea
2 days ago






Try to write $a=A^4$ and $b=B^4$ for some "better variables" $A,B$. How does it look now?
– dan_fulea
2 days ago














Some people downvoted immediately, since there is no effort shown, no context given in the question. Please fill in some details, show the own understanding...
– dan_fulea
2 days ago




Some people downvoted immediately, since there is no effort shown, no context given in the question. Please fill in some details, show the own understanding...
– dan_fulea
2 days ago












Wow, this is fascinating! I would never think of this approach. Thank you so much!
– ToTheSpace 2
yesterday






Wow, this is fascinating! I would never think of this approach. Thank you so much!
– ToTheSpace 2
yesterday












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