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Which one of the following is not equal to `((100)/9)^(-3/2)` ? `(a)\ (9/(100))^(3/2)` (b) `1/(((100)/9)^(3/2))` `(c)\ 3/(10)xx3/(10)xx3/(10)` (d) `sqrt((100)/9\ x(100)/9\ x(100)/9\ )`

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`((100)/9)^(-3/2)`
We have `(100/9)^(-3/2)= (9/(100))^(3/2)=1/(((100)/9)^(3/2))=3/(10)xx3/(10)xx3/(10)`
`((100)/9)^(-3/2)` is not equal to `sqrt((100)/9\ x(100)/9\ x(100)/9\ )`
the value of `sqrt((100)/9\ x(100)/9\ x(100)/9\ )=sqrt (100/9)^3=(100/9)^(3/2)`
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