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Chapter 5: Problem 99

Perform the indicated operation by first expressing each number in scientific notation. Write the answer in scientific notation. \(\frac{0.00008}{200}\)

Short Answer

Expert verified
The result in scientific notation is \(4 \times 10^{-7}\)

Step by step solution

01

Convert to Scientific Notation

Convert the given numbers into scientific notation. For \(0.00008\), it can be written as \(8 \times 10^{-5}\) and \(200\) can be written as \(2 \times 10^{2}\). The calculation can now be rewritten as: \(\frac{8 \times 10^{-5}}{2 \times 10^{2}}\)
02

Perform Division

Next, divide the coefficients (8 divided by 2) and subtract the exponent from the denominator from the exponent of the numerator \(-5 - 2 = -7\). So, the calculation will be \(4 \times 10^{-7}\)
03

Result

Thus, the result of the given calculation in scientific notation is \(4 \times 10^{-7}\)

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