SOLUTION: please help me solve this: {{{ 3rt( 27x^9y^4z^7) }}} i am not sure if i entered this is correctly but i hope that i did. It is the cube root of 27x^9y^4z^7

Algebra ->  Expressions-with-variables -> SOLUTION: please help me solve this: {{{ 3rt( 27x^9y^4z^7) }}} i am not sure if i entered this is correctly but i hope that i did. It is the cube root of 27x^9y^4z^7      Log On


   



Question 66938: please help me solve this:
+3rt%28+27x%5E9y%5E4z%5E7%29+
i am not sure if i entered this is correctly but i hope that i did. It is the cube root of 27x^9y^4z^7

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The cube root can be expressed as

Now simply multiply each exponent by 1/3 and take the cube root of 27

So 27 to the one-third power (the cube root of 27) is 3
Multiply the exponents
Simplify. There's the simplified expression.
Or it could look like this

Either way they are both equal.