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Im having trouble with this

 

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

 Jun 27, 2023
 #1
avatar+131 
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One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair?  

 

Consider                                                                ab4  =  48  

 

We will divide both sides by ab.  

 

Since ab=72, we will divide the left side  

by "ab" and the right side by its equal 72.  

                                                                              ab4         48  

                                                                             ——   =   ——  

                                                                              ab           72  

Note that ab4 = (ab) * (b3)  

 

Cancel ab out of the left side.  

Reduce 48/72 on the right side.  

                                                                               b3           2  

                                                                             ——   =   ——  

                                                                                1            3  

 

 

                                                                                 b   =   cube root of (2 / 3)  

 Jun 27, 2023
 #2
avatar+752 
0

 

Imitation is the sincerest form of flattery.  But, when you copy one of my answers and paste it in elsewhere, somewhere along the line the formatting gets dropped off.  So please use the formatting buttons this site provides, to make those exponents look like exponents. 

 

Example.  To make x4 look like a regular exponential expression:  Select the 4, then click the x2 button in the coding buttons above, while you're on the editing screen.  

.

Bosco  Jun 27, 2023
edited by Bosco  Jun 27, 2023

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