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Question
Simplify:
`64^(-1/3)[64^(1/3) - 64^(2/3)]`
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Solution
`64^(-1/3)[64^(1/3) - 64^(2/3)] = (4^3)^(-1/3)[(4^3)^(1/3) - (4^3)^(2/3)]` ...[∵ (am)n = amn]
= `4^(3 xx - 1/3) (4^(3 xx 1/3) - 4^(3 xx 2/3))`
= 4–1(4 – 42)
= `1/4(4 - 16)`
= `-12/4`
= – 3
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