Help with calculations please

[Raiden2012]

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Ok how does one go about doing this?

4x^3 = 6.92 X 10^-22

This was my way

x^3 = [ (6.92/4) * 10^-1 * 10^-21 ]
Its easier to take the cube root of 10^-21 so I did that and got 10^-7
The question is how to get the cube root of [(6.92/4)*0.1] ??

Again I took it as between 4/4 * 0.1 and 8/4 * 0.1
so the answer is between the cube root of 0.1 and 0.2 (then multiplying with 10^-7)

I narrowed down the answer to between (8.85 * 10^-8) and (5.57 * 10^-8) before getting stuck and choosing randomly. Tips anyone?

 

[ThirdEye]

6.92/4 is basically 7/4. 7/4 is 1 and 3/4 = 1.75


Edited, did the rest wrong.

Post below has it

 

[johnnybravo19]

Ok how does one go about doing this?

4x^3 = 6.92 X 10^-22

This was my way

x^3 = [ (6.92/4) * 10^-1 * 10^-21 ]
Its easier to take the cube root of 10^-21 so I did that and got 10^-7
The question is how to get the cube root of [(6.92/4)*0.1] ??

Again I took it as between 4/4 * 0.1 and 8/4 * 0.1
so the answer is between the cube root of 0.1 and 0.2 (then multiplying with 10^-7)

I narrowed down the answer to between (8.85 * 10^-8) and (5.57 * 10^-8) before getting stuck and choosing randomly. Tips anyone?

First thing you want to do is to turn the 10^-22 divisible by ^3 because getting cube root of an exponent divides it

At the same time, you would want 6.92 to be divisible by 4 leading to 692*10^-24
Divide it by 4 and you get 173*10^-24
Now get the cube root of that, and it's (something between 5 and 6)*10^-8

That's as far as you need to go