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प्रश्न
Simplify:
`64^(-1/3)[64^(1/3) - 64^(2/3)]`
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उत्तर
`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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संबंधित प्रश्न
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`(2sqrt3 - sqrt5)/(2sqrt2 + 3sqrt3)`
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If\[\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = x + y\sqrt{3},\] find the values of x and y.
If \[\frac{\sqrt{3 - 1}}{\sqrt{3} + 1}\] =\[a - b\sqrt{3}\] then
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