I am trying to calculate a spread but struggling to calculate the answer to the power of 1/3 as I can't find the button on my calculator. Can anyone help? The formula is 3[3/4x50x4,000,000/.00025]to pwer 1/3

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I am trying to calculate a spread but struggling to calculate the answer to the power of 1/3 as I can't find the button on my calculator. Can anyone help? The formula is 3[3/4x50x4,000,000/.00025]to pwer 1/3

Mathematics
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  • R
When I multiply/divide I get 1.8 10E12 so I guess we are looking the the cube root of 1.8 as the power 0f 10 would be 10^4
  • R
My calculator agt Casio fx-300W has a cube root button but I believe you could use the x^y button, anyway my cube root button gives the cube root of 1.8 as 1.2644
  • R
Yes, the x^y button can be used. enter 1.8, enter x^y, enter .33333 and see what you get.

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Other answers:

  • R
1.2644 10^4
  • R
What did you come up with. I may have gotten the value in the paren wrong??
The answer is £25,303
  • R
Let me refigure: I am taking 3[.75x50x4,000,000/.00025]to the 1/3 Did you get that before we take the cube root?
yes thats the right figures
  • R
\[3((6.0)10^{11})^{1/3}\]
  • R
Is that what you get before taking the cube root?
If i feed into my calculator i get 3[6^11]^1/3
I'm not a genius with equations so am struggling with this one
  • R
I am adjusting the expression to read:\[3(0.60 x 10^{12})^{1/3}\]
  • R
So now I only need the cube root of 0.60 as the cube root of 10^12 is 10^4 \[3(.8434)10^{4}=2.5302(10^{4})\]
  • R
That agrees with your answer. Have you tried extracting the cube root using the x^y key of your calculator?
How do you do that? I assume I need to break the equation down and calculate the different parts but how did you get to 3(0.60x10^12)1/3? Or am I being a bit thick?
  • R
Do you understand scientific notation using exponents for 10?
No
  • R
\[(3(6.0 x(10^{11})^{1/3}\] is the value obtained on the values you have included inside the bracket. Now the 10^11 is the multiplier for the 6.0 or actually it is 600,000,000,000 which is 6 times 10^11 or 6 and 11 zeroes. A very unwieldy number.
  • R
\[10^{11} = 10^{2}(10^{9})\]
  • R
3[6.0 10^11]^1/3 is the same 3[6.0 x 10^-1 x10^2] 3[.6 x 10^-12]^1/3 and so on. On using the calculator on the data inside the brackets, since there were no additional parens, proceed from left to right inside the bracket. Note that the cube root only applied to the data inside the bracket. I made the mistake on my first attempt by multiplying by three before taking the cube root.
  • R
Review "scientific notation" it will surely help you when you deal with large and very small values. sometimes the calculator will automatically express (display) large numbers using that form of notation.
  • R
Good luck.
Thanks for your help, much appreciated.

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