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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?

 Jun 3, 2022
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\(ab^5=4608\) -----> 1

\(ab^4=384\) -------> 2

 

\(\frac{1}{2}\) Divide 1 by 2

 

\(b=\frac{4608}{384}\)

 

\(b=12\)

 

\(a\times (12)^4=384\)

 

\(a=\frac{1}{54}\)

 Jun 3, 2022

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