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One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $ab^3 = 24$. What is the value of b in this ordered pair?

 Jan 15, 2025
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ab^4 = 48         (2)

ab^3  = 24        (1)

 

Divide (2) by (1)

 

b = 48 / 24 =  2

 

So

 

a (2)^4  = 48

a * 16  = 48

a = 48 / 16  = 3

 

(a , b)  = ( 3 , 2)

 

cool cool cool

 Jan 15, 2025

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