SOLUTION: (8x^5)/5 * 20/x^10 i think i have this one but im not sure, please help

Algebra ->  Exponents -> SOLUTION: (8x^5)/5 * 20/x^10 i think i have this one but im not sure, please help      Log On


   

Question 119842: (8x^5)/5 * 20/x^10 i think i have this one but im not sure, please help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%288x%5E5%29%2F%285%29%29%2A%28%2820%29%2F%28x%5E10%29%29 Start with the given expression


%28%288x%5E5%29%2A%2820%29%29%2F%28%285%29%2A%28x%5E10%29%29 Combine the fractions


%28160x%5E5%29%2F%285x%5E10%29 Multiply the numerators and denominators by adding the exponents. Remember x%5E2%2Ax%5E3=x%5E%282%2B3%29=x%5E5. Don't forget to multiply the coefficients.


32x%5E-5 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.



32%2A%281%2Fx%5E5%29 Now rewrite x%5E-5 as 1%2Fx%5E5


32%2Fx%5E5 Combine the fractions


So %28%288x%5E5%29%2F%285%29%29%2A%28%2820%29%2F%28x%5E10%29%29 simplifies to 32%2Fx%5E5

In other words, %28%288x%5E5%29%2F%285%29%29%2A%28%2820%29%2F%28x%5E10%29%29=32%2Fx%5E5