Grades 11-12 Video Solutions 2012-2012_11-12

Video Transcription

The maximum value of an integer n, for which n to the 200th power is less than 5 to the 300th power, is equal to which of the following?  So if we take the 200th root of both sides, we get that n squared is less than 5 cubed, and now this is a lot easier to deal with.  The biggest square number that's less than 125 is 121, which is 11 squared.

Video Summary

The maximum value of an integer n, for which n to the 200th power is less than 5 to the 300th power, is equal to which of the following? So if we take the 200th root of both sides, we get that n squared is less than 5 cubed, and now this is a lot easier to deal with. The biggest square number that's less than 125 is 121, which is 11 squared.