/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 82 \(\frac{8.6 \times 10^{4}}{3.9 \... [FREE SOLUTION] | 91影视

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Chapter 5: Problem 82

\(\frac{8.6 \times 10^{4}}{3.9 \times 10^{7}}\)

Short Answer

Expert verified
The result of the division \(\frac{8.6 \times 10^{4}}{3.9 \times 10^{7}}\) is \(2.21 \times 10^{-3}\).

Step by step solution

01

Split the figures

Separate the base numbers and the powers of 10. This will be done as \(8.6 \div 3.9\) and \(10^{4} \div 10^{7}\).
02

Divide the base numbers

Perform the division of the base numbers, which is \(8.6 \div 3.9\). The result is approximately 2.20513. Round this to a reasonable number of significant figures, here 2.21 will be used.
03

Subtract the exponents

Subtract the exponents. Since we are dividing, we subtract the denominator's exponent from the numerator's exponent. This gives us \(10^{4-7}\) which simplifies to \(10^{-3}\).
04

Combine the results

Combine the divided base numbers with the power of 10 results. Here we get \(2.21 \times 10^{-3}\).

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