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One ordered pair (a,b) satisfies the two equations ab4=12 and a^5b^5=7776. What is the value of a in this ordered pair?

Sorry, one is in LaTex. NEED HELP PLEASEangryangry

 Oct 13, 2018
 #1
avatar+6251 
+3

ab4=12, a5b5=7776we want to get rid of b by dividing a power of the first equation by a power of the 2nd(ab4)5(a5b5)4=(12)5(7776)4a5b20a20b20=1a15=(223)5(2535)4=21035220320=1210315a=(210315)1/15=22/33

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 Oct 13, 2018
 #2
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+1

Can you write that in regular form, please? Like 2^6 or something like that for example. And how do you write 2/3 for the power?

 Oct 15, 2018
edited by Guest  Oct 15, 2018
 #3
avatar+118703 
+2

22/3=(22)1/3=322=34

 

does that help?

 Oct 15, 2018

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