I am absolutly stumped at how to solve this. I know for squared functions you take the square root of both sides to solve for x but what about if one side is cubed. I know you would have to take the cubed root of the function but how do you do this on a calculator?

equation is: 3.9*10^-11 = 4*X^3
so I simplify and get:

9.75*10^-12 = x^3
but now how to solve on calculator?

the xy key allows cube roots.

( some calc have it as yx key)
for instance, the cube root of 27

enter 27
press xy
enter (1 divide 3 )
you should see 3, and some will require you to press enter.

okay sounds easy but I have a TI-84+ and I don't see that key.

also will this work for say x^5 or x^4?

If you don't have this key how would you solve it?

yes, works for any root, or power.

If you don't have that key, you can do it with logs....

To solve for x in the equation 9.75 * 10^-12 = x^3, you are correct that you need to take the cube root of both sides. To do this on a calculator, follow these steps:

1. Enter the value of 9.75 * 10^-12 on your calculator.
2. Look for the cube root function on your calculator. It is usually denoted by a cube root symbol (∛) or by the "y√x" button, where y is the root you want to take.
3. Press the cube root button and then enter the value you calculated in step 1.
4. Press the equals (=) button.

The result on your calculator will give you the cube root of 9.75 * 10^-12, which is the value of x in the equation.