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प्रश्न
The value of `(1/2^3)^2` is equal to ______.
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उत्तर
The value of `(1/2^3)^2` is equal to `underlinebb(1/2^6)`.
Explanation:
Using law of exponents,
(am)n = (a)mn ...[∵ a is non-zero integer]
∵ `(1/2^3)^2 = (1^3/2^3)^2`
= `(1/2)^(3 xx 2)`
= `(1/2)^6`
= `1/2^6` ...[∵ (1)m = 1]
Hence, `(1/2^3)^2 = 1/2^6`
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