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One ordered pair (a,b) satisfies the two equations ab^4 = 384 and ab^5 = 4608. What is the value of a in this ordered pair?

 Aug 9, 2021
 #1
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dividing both equuations get b = 12. a * 12^4 = 384, a = 384/12^4. 

 Aug 9, 2021
 #2
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a = 384 / b^4

 

 

then     384 / b^4   *  b^5  = 4608

                                b = 4608/384= 12          then a = 384/ 12^4= .0185

 Aug 9, 2021

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