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Write the answer in proper scientific notation:

(6x10^(-7))/(0.0004)

Write the answer in proper scientific notation:\newline6x1070.0004 \frac{6 x 10^{-7}}{0.0004}

Full solution

Q. Write the answer in proper scientific notation:\newline6x1070.0004 \frac{6 x 10^{-7}}{0.0004}
  1. Convert to Scientific Notation: Convert the divisor to scientific notation.\newlineTo divide by 0.00040.0004, we first convert 0.00040.0004 to scientific notation.\newline0.0004=4×1040.0004 = 4 \times 10^{-4}
  2. Set Up Division: Set up the division of the two numbers in scientific notation.\newlineNow we have (6×107)÷(4×104)(6 \times 10^{-7}) \div (4 \times 10^{-4}).
  3. Divide and Subtract: Divide the coefficients and subtract the exponents.\newlineWhen dividing numbers in scientific notation, we divide the coefficients and subtract the exponents of 1010.\newline(6÷4)×107(4)(6 \div 4) \times 10^{-7 - (-4)}
  4. Perform Division: Perform the division and subtraction.\newline6÷4=1.56 \div 4 = 1.5\newline7(4)=7+4=3-7 - (-4) = -7 + 4 = -3\newlineSo, 1.5×1031.5 \times 10^{-3} is the result.

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