How to create a min max mathematical formula in excel?

f(x)=x^3 formula in excel

Min max formula??
Ideally with ^1.125 where negative input numbers are increased the larger the number (1^1.125=1, 10^1.125=13.33521432), and the same happens with positive numbers in the other direction.

The question is how does one write this formula into excel? It has things on either side of the = sign. I'm trying to min/max a number as an output.
For example
-5 A1 = -25 B1
+5 A2 = +25 B2
-2 A3 = -4 B3
+2 A4 = +4 B4
-10 A5 = -100 B5
+10 A6 = +100 B6

I've used ^2 here but I'd like control over that. The above math equation is what I found on the web. I know there is a mathamatical way of describing this.
This is an image of the graph I'm looking for. The X axis is the input number.

maxmin2.gif


Thanks

Thanks! It doesn't work with negative numbers though. Unless you use ^3 but that's much too high.

I could use =A1^1.5 but nothing with a ^ works with a negative number and I need it to also work with negative numbers.

Thanks though!

OH interesting their is a function in excel specifically for matching the sign of a number! Neat. And ABS just makes the number positive.

Well great! Simple solve.

Hope nobody needs the proper mathamatical formula for this.

Thanks all!

The graph I posted indicates what I wanted. Simple controllable equation for real numbers. I was just hoping there was an actual formula for calculating this. IE: f(x)=x^3 (is what I find online) but only works y=x^3 for both negative and positive numbers when cubed. Any less and they become imaginary?. (Irrational?).

In any case I was looking for a simple single cell equation/formula to take the input numbers and exponentially output them so that the higher the input the WAY higher/lower the output. Which has been achieved thanks to TMS and others.

I hope nobody in the future needs to know if their is an elegant formula to this problem that uses strictly math.

Thanks to all!

SOLVED