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Math Help - Multipying exponents

  1. #1
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    Multipying exponents

    Given:


    (1.5*10^-14) * (3.8394*10^10) / (2.45)

    How can I find the answer to this question and record it in exponential notation?

    (to two sig figs)
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by hemi View Post
    Given:


    (1.5*10^-14) * (3.8394*10^10) / (2.45)

    How can I find the answer to this question and record it in exponential notation?

    (to two sig figs)
    Add the exponents

    a^b \times a^c = a^{b+c}
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  3. #3
    MHF Contributor

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    Quote Originally Posted by hemi View Post
    Given:


    (1.5*10^-14) * (3.8394*10^10) / (2.45)

    How can I find the answer to this question and record it in exponential notation?

    (to two sig figs)
    Start by doing it as two separate problems: \frac{(1.5)(3.8394)}{2.45} and (10^{-14})(10^{10}). The first is "ordinary arithmetic" and for the second, as e^(i*pi) says, you add the exponents: [itex]10^{-14+ 10}[/itex].

    If the result of [tex]\frac{(1.5)(3.8394)}{2.45}[/itex] is not between 1 and 10, change it also into "scientific notation" and add the exponent to what you got for the second expression. Don't forget to reduce to two signifcant figures.
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