# Thread: Cube Root Equation

1. ## Cube Root Equation

Hi,

I need help with the following equation please -- I have almost no idea how to find the answer.

Thank you

2. Cubing both sides of the equation gives you

$x \sqrt{x} = 9^3$,

which can be written

$x^{\frac{3}{2}} = 9^3$.

Now, to get x on the left hand side, raise both sides to the 2/3 power:

$x = 9^2 = 81$

3. Originally Posted by jessicagoode
Hi,

I need help with the following equation please -- I have almost no idea how to find the answer.

Thank you
change the radicals to exponents ...

$\left(x \cdot x^{\frac{1}{2}} \right)^{\frac{1}{3}} = 9$