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Question
For a non-zero rational number z, (z–2)3 is equal to ______.
Options
z6
z–6
z1
z4
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Solution
For a non-zero rational number z, (z–2)3 is equal to z–6.
Explanation:
Using law of exponents,
(am)n = (a)mn ...[∵ a is non-zero integer]
Similarly, (z–2)3 = (z)(–2) × 3 = (z)–6
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