SOLUTION: 104.Can you help? I need to simplify the expresion. answers with positive exponents. Assume that all variables represent positive real numbers. (-27x^9)exponent1/3. Thank you ang

Algebra ->  Radicals -> SOLUTION: 104.Can you help? I need to simplify the expresion. answers with positive exponents. Assume that all variables represent positive real numbers. (-27x^9)exponent1/3. Thank you ang      Log On


   

Question 197974: 104.Can you help? I need to simplify the expresion. answers with positive exponents. Assume that all variables represent positive real numbers.
(-27x^9)exponent1/3. Thank you angel
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression.


... Convert to radical notation.


... Break up the root using the identity root%28n%2Cx%2Ay%29=root%28n%2Cx%29%2Aroot%28n%2Cy%29


... Rewrite -27 as %28-3%29%5E3


... Rewrite x%5E9 as %28x%5E3%29%5E3


... Take the cube root of %28-3%29%5E3 to get -3


... Take the cube root of %28x%5E3%29%5E3 to get x%5E3



So