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28 February, 06:24

Multiply (2.0 times10 to the - 4 power) times (3.1 times 10 to the - 20 power)

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Answers (1)
  1. 28 February, 07:04
    0
    Hello,

    2.0 x 10^-4 * 3.1 x 10^-20

    Apply exponent rule:

    a^b*a^c=a^b+c

    = 10^-24

    =2*10^-24 * 3.1

    Apply exponent rule: a^-b=1/a^b

    :10^-24=1/10^24

    =2*3.1*1/10^24

    Multiply fractions:

    a * b/c = a*b/c

    =3.1*1*2/10^24

    Apply rule 1 * a = a

    =3.1 * 2/10^24

    2/10^24=1/5^24 * 8388608

    Multiply fractions:

    = 1 x 3.1/5^24 x 8388608

    Apply rule 1 * a = a

    = 3.1/5^24 x 8388608

    Covert elements to decimal form:

    5^24 = 5.96046 ... E16

    Multiply: 5.96046 ... E16 * 8388608

    = 5.0E23

    = 3.1/5.0E23

    Divide:

    3.1/5.0E23=6.2E-24

    Simply:

    6.2 x 10^-24

    Faith xoxo
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