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Question
Evaluate:
`9^0+9^-1-9^-2+9^(1/2)-9^(-1/2)`
One Line Answer
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Solution
`9^0+9^-1-9^-2+9^(1/2)-9^(-1/2)`
`=1+1/9-1/9^2+(3^2)^(1/2)-(3^2)^(-1/2)`
`=1+1/9-1/81+3^(2xx1/2)-3^(2xx(-1/2)`
`=1+1/9-1/81+3-3^-1`
`=1+1/9-1/81+3/1-1/3`
`=(81+9-1+243-27)/81=(333-28)/81`
`=305/81=3 62/81`
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