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Chapter 5: Problem 90

Perform the indicated operation and express each answer in decimal notation. \(\frac{8 \times 10^{4}}{2 \times 10^{7}}\)

Short Answer

Expert verified
The result of the operation is \( 0.004 \)

Step by step solution

01

Simplify the Numerical Part

First, divide the numerical coefficients: \( \frac{8}{2} = 4 \)
02

Simplify the Exponential Part

To simplify the exponential part, subtract the exponent of the denominator from the exponent of the numerator: \( 10^{4-7} = 10^{-3} \)
03

Combine The Two Parts of the Operation

Now combine the results of the numerical part and the exponential part: \( 4 \times 10^{-3} \)
04

Convert into Decimal Notation

Finally, convert this into decimal notation: \( 4 \times 10^{-3} = 0.004 \)

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Most popular questions from this chapter

What is the common ratio in a geometric sequence?

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=3000, r=-1\)

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=-2, r=-3\)

What is a sequence? Give an example with your description.

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=20, r=-4\)
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