SOLUTION: simplify -18a 6th power 4x 3rd power ___________ __ X ___________ __ x 2nd power 9a 2nd power

Algebra ->  Equations -> SOLUTION: simplify -18a 6th power 4x 3rd power ___________ __ X ___________ __ x 2nd power 9a 2nd power      Log On


   

Question 120802: simplify
-18a 6th power 4x 3rd power
______________ X ______________
x 2nd power 9a 2nd power
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28-18a%5E6%29%2F%28x%5E2%29%29%2A%28%284x%5E3%29%2F%289a%5E2%29%29 Start with the given expression


%28%28-18a%5E6%29%2A%284x%5E3%29%29%2F%28%28x%5E2%29%2A%289a%5E2%29%29 Combine the fractions


%28-72a%5E6x%5E3%29%2F%289a%5E2x%5E2%29 Combine the fractions by multiplying. Don't forget to multiply the coefficients.


-8a%5E4x%5E1 Divide the expression by subtracting the exponents. Remember x%5E5%2Fx%5E3=x%5E%285-3%29=x%5E2. Don't forget to divide the coefficients.



So %28%28-18a%5E6%29%2F%28x%5E2%29%29%2A%28%284x%5E3%29%2F%289a%5E2%29%29 simplifies to -8a%5E4x%5E1

In other words, %28%28-18a%5E6%29%2F%28x%5E2%29%29%2A%28%284x%5E3%29%2F%289a%5E2%29%29=-8a%5E4x%5E1