What are the possible solutions of the equation x^√x=√[(x^x)]^n,where x and n are positive integers?²

An automobile financer claims to be leding money at S.I but he includes the interest every 6 months for calculating the principal.If he charging at the rate of 10%,effective rate of interest becomes

A light was seen regularly at an interval of 13 seconds.It was seen for the first time at 1hour 54 minutes 50 seconds and the last time at 3 hours 17 minutes 49 seconds.How many times was the light seen?

When a ball bounces,it rises to 2/3rd of the height from which it fell.If the ball is dropped from a height of 36m,how high will it rise at the third bounce?

A thief is noticed by a policeman from a distance of 200m.The thief starts running and the policeman chases him.The thief and the policeman run at the speed of 10km/hr and 11km/hr respectively.What is the distance between them after 6 minutes?

A runs 5/3 times as fast as B.If A gives B a start of 80m,how far the winning post from the starting point be so that A and B might reach it at the same time?