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Question
Evaluate :
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Solution
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
= `sqrt( 1/2 xx 1/2 ) + ( 0.1 xx 0.1 )^(-1/2) - ( 3 xx 3 xx 3)^(2/3)`
= `1/2 + [(0.1)^2]^(-1/2) - (3^2)^(2/3)`
= `1/2 + ( 0.1 )^( 2 xx (-1/2)) - 3 xx ( 3 xx 2/3 )`
= `1/2 + ( 0.1 )^( - 1) - 3^2`
= `1/2 + 1/0.1 - 9`
= `1/2 + 10/1 - 9`
= `[ 1 + 20 - 18 ]/2`
= `3/2`
= `1 1/2`
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