Calculate Proportional Power

Calculator for a proportional ratio to a power when a value changes as a percentage or by a factor. If there is a relation between two values, then a change in one value leads to a change in the other. Often this relation is not linear, sometimes it is a power. Changing the radius of a circle changes its area to the second power. Increasing the radius of a sphere increases its volume to the third power. With a ten percent increase in the radius, so a factor of 1.1, the surface area increases by 21 percent or by factor 1.21 and the volume by 33.1 percent of factor 1.331.
Please enter the power and a percentage or a factor. Specifying an absolute value is optional.

* Power:
Absolute value before:
	Change value 1
* Percent:
* Factor:
	Change value 2
Percent:
Factor:
Absolute value after:

Round to decimal places.

Example: the triple-alpha process inside red giant stars takes place at temperatures above 100 million Kelvin. In this process, three alpha particles, i.e. helium nuclei, are fusioned into one carbon nucleus and that, of course, not once, but in very large numbers. At this process, the release of energy increases with the 30th power of the temperature. So a 10 percent increase in temperature would release 1645 percent more energy, a 17.45-fold increase. This would possibly destroy the star immediately. But that value also means that the temperature there can hardly rise much. The 30th power is, of course, an extreme case, but it shows how such powers can prevent an increase to arbitrary values by leading to absurdly high results.
The input here is power: 30, percent: 10. If you want to specify the temperature as an absolute value, you can enter 100 for the 100 million Kelvin. The result is then 1.745 billion Kelvin, which is the temperature,, at which neon is fused into oxygen or oxygen into silicon within red supergiants.