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प्रश्न
Evaluate of the following
\[\sqrt[3]{0 . 1 \times 0 . 1 \times 0 . 1 \times 13 \times 13 \times 13}\]
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उत्तर
To evaluate the value of the expression, we need to proceed as follows:
\[\sqrt[3]{0 . 1 \times 0 . 1 \times 0 . 1 \times 13 \times 13 \times 13} = \sqrt[3]{\frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times 13 \times 13 \times 13} = \sqrt[3]{\frac{13 \times 13 \times 13}{10 \times 10 \times 10}} = \frac{\sqrt[3]{13 \times 13 \times 13}}{\sqrt[3]{10 \times 10 \times 10}} = \frac{13}{10} = 1 . 3\]
Thus, the answer is 1.3.
संबंधित प्रश्न
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| Sr. No. | Number | Power of the root | Root of the power |
| (1) | `(225)^(3/2)` | Cube of square root of 225 | Square root of cube of 225 |
| (2) | `(45)^(4/5)` | ||
| (3) | `(81)^(6/7)` | ||
| (4) | `(100)^(4/10)` | ||
| (5) | `(21)^(3/7)` |
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