SOLUTION: Please help me simplify this expression: {{{10x^4y^2(x^-2y^0.5)/2xy}}}

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Please help me simplify this expression: {{{10x^4y^2(x^-2y^0.5)/2xy}}}      Log On


   

Question 78001: Please help me simplify this expression:
10x%5E4y%5E2%28x%5E-2y%5E0.5%29%2F2xy
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
10x%5E4y%5E2%28x%5E-2y%5E0.5%29%2F2xy
When you multiply common bases with exponents, you add the exponents
10x%5E%284%2B-2%29y%5E%282%2B0.5%29%2F2xy Distribute 10x%5E4y%5E2

When you divide bases with exponents, you subtract the exponents
5x%5E%282-1%29y%5E%282.5-1%29
5x%5E%281%29y%5E%281.5%29
Convert the decimal exponent to a rational fraction
5x%5E%281%29y%5E%283%2F2%29
Convert rational fraction exponents to radical notation
5x%2Aroot%283%2Cy%5E2%29