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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?

 Sep 4, 2024
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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?   

 

                                                     ab4  =  48       

                                                     ab3  =  24    

 

ab4 = 48 and ab3 = 24 so let's   

divide both sides of the first by     

respective equal values of the     

second to obtain                              b = 2     

 

the problem doesn't ask for     

the value of a, but it's                       a = 3      

.    

 Sep 4, 2024

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