Answer:
   ![\displaystyle\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
Step-by-step explanation:
It can work well to identify 4th powers under the radical, then remove them.
   ![\displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B4%5D%7B%5Cfrac%7B24x%5E6y%7D%7B128x%5E4y%5E5%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B16y%5E4%7D%7D%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E2%7D%7B%282y%29%5E4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
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The applicable rules of exponents are ...
   1/a^b = a^-b
   (a^b)(a^c) = a^(b+c)
The x-factors simplify as ...
   x^6/x^4 = x^(6-4) = x^2
The y-factors simplify as ...
   y/y^5 = 1/y^(5-1) = 1/y^4
The constant factors simplify in the usual way:
   24/128 = (8·3)/(8·16) = 3/16
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:
The pattern in the table adds 1.50 for ever 15 minutes. That means per minute it adds  or 10 cents. This means you multiply each minute by 0.10 to find the cost. This is the equation c = 0.10m.
 or 10 cents. This means you multiply each minute by 0.10 to find the cost. This is the equation c = 0.10m.
 
        
             
        
        
        
Answer:
9.30918
Step-by-step explanation:
 
        
             
        
        
        
The answer is B. 45m/s north
        
             
        
        
        
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