If xa = cb and xc = ca, prove that a2 = bc.

Asked by dhairyaking0001 | 31st May, 2019, 08:51: PM

Expert Answer:

straight x to the power of straight a equals straight c to the power of straight b
rightwards double arrow straight x equals open parentheses straight c to the power of straight b close parentheses to the power of 1 over straight a end exponent equals straight c to the power of straight b over straight a end exponent
Now comma
space straight x to the power of straight c equals straight c to the power of straight a
rightwards double arrow straight c to the power of bc over straight a end exponent equals straight c to the power of straight a
rightwards double arrow bc over straight a equals straight a
rightwards double arrow bc equals straight a squared

Answered by Arun | 2nd Jun, 2019, 10:34: AM

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