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29 December, 16:32

Compute (4.29*1015) ⋅ (1.96*10-4).

Express your answer to three digits.

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  1. 29 December, 19:32
    0
    (4.29*10¹⁵) ⋅ (1.96*10⁻⁴) = 8.40 * 10¹¹, has three significant digits.

    Explanation:

    To solve: (4.29*10¹⁵) ⋅ (1.96*10⁻⁴)

    According to the product rule of exponents, when exponents having the same base are multiplied, the base is kept the same and the powers are added.

    Therefore,

    (4.29*10¹⁵) ⋅ (1.96*10⁻⁴) = (4.29 * 1.96) · 10⁽¹⁵⁻⁴⁾ = 8.40 * 10¹¹

    The number, 8.40 * 10¹¹ has three significant digits.
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