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प्रश्न
Evaluate:
`[216^(2/3) + 64^(1/3) * 49^(1/2)]^((-1)/3)`
मूल्यांकन
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उत्तर
Let’s evaluate:
`[216^(2/3) + 64^(1/3) * 49^(1/2)]^(-1/3)`
Step 1: Simplify each term
`216^(2/3) = (root(3)(216))^2 = 6^2 = 36`
`64^(1/3) = root(3)(64) = 4`
`49^(1/2) = sqrt(49) = 7`
Now multiply:
`4 * 7 = 28`
Step 2: Add inside the brackets
36 + 28 = 64
Step 3: Apply the outer exponent
`64^(-1/3) = 1/root(3)(64) = 1/4`
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