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प्रश्न
The value of `(2/5)^-2` is ______.
विकल्प
`4/5`
`4/25`
`25/4`
`5/2`
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उत्तर
The value of `(2/5)^-2` is `underlinebb(25/4)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(2/5)^-2 = 1/(2/5)^2`
= `1/(4/25)`
= `25/4`
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`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
