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What is the result of multiplying 6.37 × 10² by 9.8 × 10⁸, and what are the values of 6.5 × 10⁻², 6.5 × 10⁻⁸, 6.5 × 10⁻⁷, and 6.5 × 10⁻⁴?

6.37 × 10²
9.8 × 10⁸

6.5 × 10⁻²
6.5 × 10⁻⁸
6.5 × 10⁻⁷
6.5 × 10⁻⁴




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1 Answer

  1. To solve the multiplication of the two numbers in scientific notation, follow these steps:

    1. Multiply the coefficients:

    – 6.37 and 9.8:

    [

    6.37 times 9.8 = 62.486

    ]

    2. Add the exponents:

    – 10² and 10⁸:

    [

    2 + 8 = 10

    ]

    3. Combine the results:

    [

    62.486 times 10^{10}

    ]

    4. Convert to proper scientific notation:

    Since the coefficient (62.486) is greater than 10, we adjust it to fall between 1 and 10:

    [

    6.2486 times 10^{11}

    ]

    So, the answer is:

    [
    6.2486 times 10^{11}

    ]

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