Finding the quotient by dividing fractions that contain exponents?

Question

18x⁷    Divided by  2x⁷y⁴

y⁴                                       6

 

Thank you for your help!

 

Answer 1

(a/b) / (c/d) = (a/b) × (d/c)
~~~~~~~~~~
        18x⁷  ·     6          
         y⁴     ·  2x⁷y⁴       with condition, that xy ≠ 0
                         
         54     
          y⁸      

Answer 2

The only other thing you need to know that I did not explain in your multiplication question is the way to divide fractions.  Dividing fractions = multiplying fractions by flipping the numerator and denominator in the second fraction.

 

So, 18x⁷ -  divided by  2x7y⁴         =      18x⁷          times       6 

       y⁴                         6                       y⁴                                 2x7y⁴

 

Use the same process as with the multiplication question you asked earlier, and see if you cannot get:

 

(3x⁷)(7)(2x) where y cannot equal 0.  E-mail me with any questions you may have.  :-)   ***Thanks to Nataliya for finding my error and helping out.

54    is correct, with xy not equal to 0***

y⁸