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Evaluate the Following: √ 1 4 + ( 0.01 ) − 1 2 − ( 27 ) 2 3 - Mathematics

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Question

Evaluate the following:

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

Sum

Solution

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

= `(1/2^2)^(1/2) + (0.1)^-1 - 3^2`

= `(1/2) + (0.1)^-1 - 3^2`

= `(1)/(2) + (1)/(0.1) - 9`

= `(1)/(2) + (10)/(1) - 9`

= `(1)/(2) + 1`

= `(3)/(2)`.

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Solving Exponential Equations
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Chapter 9: Indices - Exercise 9.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 9 Indices
Exercise 9.1 | Q 6.6
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