simplify 5^1.3 ???????

• let x=5^1.3
  x=5^13/10
  taking log on both the sides:
  log x= log 5^13/10
  = 13/10 log 5
  =13/10(0.698)
  =0.90
  =antilog(0.90)
  =8.103
  
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• 5 ^ 13/10
  =10th root of 5^13
  =5x10th root of 5^3
  =5x10th root of 125
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• 1.3=13/10
  13/10log5=.9
  question=antilog .9=8.1
  
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