Manipulating Exponents, Simple

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Answering the above question is not really hard, but the question is how to change 32^24 to 2^120? Whats the method for that? Is there a formula I can use?
 
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32=2^5. (a^b)^c=a^(b*c).
 
Thanks!
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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