At what distance from the sun is the intensity of sunlight nine times the value at the earth? (the average earth–sun separation is 1.496 1011 m.)

Sunlight is type of EM wave. The intensity of EM follows inverse square law.

This means that the intensity at a distance that is n times greater will be n^2 times smaller.
Now we set this equation to be equal to 9 and we solve it for n:


The intensity is 9 times greater at a distance that is equal to a 1/3 of Earth's distance:

The investiture controversy began as a power struggle between pope gregory vii (1072–85) and henry iv, holy roman emperor (1056–1106).[2] a brief but significant struggle over investiture also occurred between henry i of england and pope paschal ii in the years 1103 to 1107, and the issue played a minor role in the struggles between church and state in france, as well.by undercutting the imperial power established by the salian emperors, the controversy led to nearly 50 years of civil war in germany, and the triumph of the great dukes and abbots. imperial power was finally re-established under the hohenstaufen dynasty. historian norman cantor:

That is false the sun’s core does not fusion