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OpenStudy (osanseviero):
Fast question. How to prove this? (in the simplest way please)
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OpenStudy (osanseviero):
\[0.9999... = 9^{0}\]
OpenStudy (amistre64):
A = .999... 10A = 9.999... 10A - A = 9.0000 (10-1)A = 9 9A = 9 A = 9/9 = 1 = 9^0
OpenStudy (anonymous):
1/9 = .111 9*(1/9) = 9*.111111=.999... but 9*(1/9)= 9/9=1 anynumber^0=1 therefore 9^0=1 .9999...=1
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