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Question
The value of 64-1/3 (641/3-642/3), is
Options
1
\[\frac{1}{3}\]
-3
-2
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Solution
Find the value of `64^(-1/3)(64^(1/3) - 64^(2/3)) `
So,
`64^(-1/3)(64^(1/3) - 64^(2/3)) = 2^(6 xx (-1)/3) ( 2^(6 xx (1)/3) - 2^(6 xx (2)/3) )`
`= 2^-2(2^2- 2^4)`
`= 2^-2(4-16)`
`64^(1/3) (64^(1/3) - 64^(2/3)) = 1/2^2 xx -12`
` = 1 /4 xx -12`
`= -3`
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