What will be it's value?

Asked by Farheen1447 | 26th Apr, 2019, 04:13: PM

Expert Answer:

begin mathsize 16px style open parentheses straight x to the power of fraction numerator 1 over denominator straight a minus straight b end fraction end exponent close parentheses to the power of blank to the power of fraction numerator 1 over denominator straight a space minus space straight c end fraction end exponent end exponent space space cross times space space open parentheses straight x to the power of fraction numerator 1 over denominator straight b space minus space straight c end fraction end exponent close parentheses to the power of blank to the power of fraction numerator 1 over denominator straight b space minus space straight a end fraction end exponent end exponent space space cross times space open parentheses straight x to the power of fraction numerator 1 over denominator straight c space minus space straight a end fraction end exponent close parentheses to the power of blank to the power of fraction numerator 1 over denominator straight c space minus space straight b end fraction end exponent end exponent space space
equals space straight x to the power of fraction numerator 1 over denominator open parentheses straight a minus straight b close parentheses open parentheses straight a minus straight c close parentheses end fraction end exponent cross times space space straight x to the power of fraction numerator 1 over denominator open parentheses straight b space minus space straight c close parentheses open parentheses straight b space minus space straight a close parentheses end fraction end exponent space cross times space space space straight x to the power of fraction numerator 1 over denominator open parentheses straight c space minus space straight a close parentheses open parentheses straight c space minus space straight b close parentheses end fraction end exponent
equals space straight x to the power of fraction numerator negative left parenthesis straight a space minus space straight b right parenthesis space minus space left parenthesis straight b space minus space straight c right parenthesis space plus space left parenthesis straight a space minus space straight c right parenthesis over denominator negative left parenthesis straight a space minus space straight b right parenthesis space left parenthesis straight b space minus space straight c right parenthesis space left parenthesis straight a space minus space straight c right parenthesis end fraction end exponent
equals space straight x to the power of fraction numerator negative straight a space plus space straight b space minus space straight b space plus space straight c space plus space straight a space minus space straight c over denominator negative left parenthesis straight a space minus space straight b right parenthesis space left parenthesis straight b space minus space straight c right parenthesis space left parenthesis straight a space minus space straight c right parenthesis end fraction end exponent
equals space straight x to the power of 0
equals space 1
Correct space Option colon space left parenthesis 1 right parenthesis
end style

Answered by Yasmeen Khan | 26th Apr, 2019, 05:43: PM

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