Hi All,I have simple task:
Simplify[(6^40)/(6^20)]
and I want just to simplify it into a form of:
6^20
instead I get a result: 3656158440062976 and no any other option to see intermediate steps.
How do I do it, please?best,Jacek
You could do something like this:
(HoldForm[6]^40)/(HoldForm[6]^20)
You could represent the base, here 6, by a symbol:
(a^40)/(a^20) (* a^20 *)
In WolframAlpha:
Absolutely fantastic, thank you Hans very much indeed. This is what I wanted, and it show step-by-step solution as well. Big thanks. I would like to thank others for invaluable input, I have learnt a lot today, especially I am curious about The Times newspaper inside Mathematica. best regards, Jacek
I have only:
Times @@ Cases[FactorInteger[6^40/6^20], {a_, b_} -> Defer[a^b]] (* 2^20 3^20 *)
What is this, when I paste your code into WA or as free form input I get The Times cover of British newspaper.
You mean 6^(40-20)? Yes, it can, but it is not streamlined in that direction. It takes some effort to work against the grain.
6^(40-20)
You have to prevent automatic evaluation, which is not very easy. Here is a sequence of steps that may do what you have in mind:
HoldForm[(6^40)/(6^20)] == HoldForm[a^b/a^c] %[[2]] == ReleaseHold[%[[2]]] %[[2]] == (Inactivate[Evaluate[%[[2]]]] /. {a -> 6, b -> 40, c -> 20}) %[[2]] == Activate[Evaluate[%[[2]]], Plus | Times]
Here are a few ideas:
Thank you, looks so complicated for a simple fraction. Can somehow Wolfram explain just like this: 6^40-20 ?
Just use 6^(40 - 20) in place of 6^40/6^ 20.
