You can
put this solution on YOUR website!
Start with the given expression
^{\frac{1}{3}})
Convert the expression from radical notation to exponent notation. Remember
^1x^6y^5\right)^{\frac{1}{3}})
Rewrite 1000 as
^{1\left(\frac{1}{3}\right)}x^{6\left(\frac{1}{3}\right)}y^{5\left(\frac{1}{3}\right)})
Now distribute the exponent Now distribute the outer exponent
to each exponent in the parenthesis. Remember
^{\frac{1}{3}}x^{\frac{6}{3}}y^{\frac{5}{3}})
Now multiply the exponents
^{\frac{1}{3}}x^{2}y^{\frac{5}{3}})
Reduce
Now convert back to radical notation
Take the cube root of 1000 to get 10
So
simplifies to
In other words,
(