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Evaluate : Sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3) - Mathematics

Sum

Evaluate :
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`

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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`

Concept: Laws of Exponents
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (A) | Q 3.1 | Page 98
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