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प्रश्न
Which of the following is equal to x?
विकल्प
`x^(12/7) - x^(5/7)`
`root(12)((x^4)^(1/3)`
`(sqrt(x^3))^(2/3)`
`x^(12/7) xx x^(7/12)`
उत्तर
`bb((sqrt(x^3))^(2/3))`
Explanation:
`(sqrt(x^3))^(2/3) = (x^(3/2))^(2/3)`
= `x^(3/2 xx 2/3)` ...`[∵ (a^m)^n = a^(mn)]`
= x
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