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For any positive real number x;write the...

For any positive real number x;write the value of `{(x^a)^b}^(1/(ab)) {(x^b)^c}^(1/(bc)) {(x^c)^a}^(1/(ca))`

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(i) `{(x^a)^b}^(1/(ab))`
`={x^(ab)}^(1/(ab))`
`=(x)^((ab)xx(1/(ab)))`
`rArrx^1=x`

(ii) `{(x^b)^c}^(1/(bc))`
`={x^(bc)}^(1/(bc))`
`=(x)^((bc)xx(1/(bc)))`
`rArrx^1=x`

(iii) `{(x^c)^a}^(1/(ca))`
`={x^(ca)}^(1/(ca))`
`=(x)^((ca)xx(1/(ca)))`
`rArrx^1=x`
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