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Approximate value of a root or power of a number near a perfect power

This type of question, asked 6 times: 2 May 2023 S2, 9 May 2023 S2, 11 May 2023 S1, 22 Apr 2025 S1, 11 Apr 2026 S1, 15 Apr 2026 S2. All 6 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    146
    The approximate value of 0.0263\sqrt[3]{0.026} is

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  2. Question 2

    9 May 2023 S2

    124
    The approximate value of (3.978)3/2(3.978)^{3/2} is

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  3. Question 3

    11 May 2023 S1

    125
    The approximate value of (3.978)3/2(3.978)^{3/2} is

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  4. Question 4

    22 Apr 2025 S1

    141
    The approximate value of 64⋅043\sqrt[3]{64 \cdot 04} is

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  5. Question 5

    11 Apr 2026 S1

    76
    The approximate value of 633\sqrt[3]{63} is

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  6. Question 6

    15 Apr 2026 S2

    55
    The approximate value of (0.007)13(0.007)^{\frac{1}{3}} is

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