maths

Asked by kaviyasanjay2017 | 30th Apr, 2021, 07:32: AM

Expert Answer:

begin mathsize 16px style To space show colon space open parentheses straight x to the power of straight a over straight x to the power of straight b close parentheses to the power of straight a plus straight b end exponent open parentheses straight x to the power of straight b over straight x to the power of straight c close parentheses to the power of straight b plus straight c end exponent open parentheses straight x to the power of straight c over straight x to the power of straight a close parentheses to the power of straight c plus straight a end exponent equals 1
straight L. straight H. straight S space equals space open parentheses straight x to the power of straight a over straight x to the power of straight b close parentheses to the power of straight a plus straight b end exponent open parentheses straight x to the power of straight b over straight x to the power of straight c close parentheses to the power of straight b plus straight c end exponent open parentheses straight x to the power of straight c over straight x to the power of straight a close parentheses to the power of straight c plus straight a end exponent
space space space space space space space space space space space space equals open parentheses straight x to the power of straight a over straight x to the power of straight b close parentheses to the power of straight a space space end exponent open parentheses straight x to the power of straight a over straight x to the power of straight b close parentheses to the power of straight b open parentheses straight x to the power of straight b over straight x to the power of straight c close parentheses to the power of straight b open parentheses straight x to the power of straight b over straight x to the power of straight c close parentheses to the power of straight c open parentheses straight x to the power of straight c over straight x to the power of straight a close parentheses to the power of straight c open parentheses straight x to the power of straight c over straight x to the power of straight a close parentheses to the power of straight a... left parenthesis straight a to the power of straight m plus straight n end exponent equals straight a to the power of straight m cross times straight a to the power of straight n right parenthesis
space space space space space space space space space space space space equals straight x to the power of straight a squared end exponent over straight x to the power of ab cross times straight x to the power of ab over straight x to the power of straight b squared end exponent cross times straight x to the power of straight b squared end exponent over straight x to the power of bc cross times straight x to the power of bc over straight x to the power of straight c squared end exponent cross times straight x to the power of straight c squared end exponent over straight x to the power of ac cross times straight x to the power of ac over straight x to the power of straight a squared end exponent space space space space space space space space space space space.... open parentheses straight a to the power of straight m close parentheses to the power of straight n equals straight a to the power of mn
space space space space space space space space space space space space equals 1
space space space space space space space space space space space space space equals space straight R. straight H. straight S
end style

Answered by Yasmeen Khan | 1st May, 2021, 11:54: PM