SOLUTION: Solve for k 8asquared bcubed over 3k equals 4a

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Question 150457: Solve for k
8asquared bcubed
over
3k
equals 4a
Answer by jim_thompson5910(21674) About Me  (Show Source):
You can put this solution on YOUR website!
%288a%5E2b%5E3%29%2F%283k%29=4a Start with the given equation.


8a%5E2b%5E3=4a%283k%29 Multiply both sides by 3k.


8a%5E2b%5E3=12ak Multiply 4 and 3 to get 12


8a%5E2b%5E3=12ak Divide both sides by 12a.


%288a%5E2b%5E3%29%2F%2812a%29=k Divide both sides by 12a.


%282%2A2%2A2%2Aa%2Aa%2Ab%5E3%29%2F%2812a%29=k Expand 8a%5E2 to get 2%2A2%2A2%2Aa%2Aa


%282%2A2%2A2%2Aa%2Aa%2Ab%5E3%29%2F%282%2A2%2A3%2Aa%29=k Expand 12a to get 2%2A2%2A3%2Aa


%28highlight%282%29%2Ahighlight%282%29%2A2%2Ahighlight%28a%29%2Aa%2Ab%5E3%29%2F%28highlight%282%29%2Ahighlight%282%29%2A3%2Ahighlight%28a%29%29=k Highlight the common terms.


%28cross%282%29%2Across%282%29%2A2%2Across%28a%29%2Aa%2Ab%5E3%29%2F%28cross%282%29%2Across%282%29%2A3%2Across%28a%29%29=k Cancel out the common terms.


%282ab%5E3%29%2F%283%29=k Simplify



So the answer is k=%282ab%5E3%29%2F%283%29