Question

(1 point)
perform the computation and write the result in scientific notation us letter x to denote × in your answer:
\\( \frac { 1.6 \times 10 ^ { 4 } } { 2.0 \times 10 ^ { 4 } } = \\)
preview my answers submit answers
you have attempted this problem 2 times.
your overall recorded score is 0%.
you have unlimited attempts remaining.
email instructor

Explanation:

Step1: Divide the coefficients

Divide \(1.6\) by \(2.0\): \(\frac{1.6}{2.0}=0.8\)

Step2: Divide the powers of 10

Using the rule \(\frac{a^{m}}{a^{n}}=a^{m - n}\), for \(a = 10\), \(m=4\), \(n = 4\), we have \(\frac{10^{4}}{10^{4}}=10^{4 - 4}=10^{0}=1\)

Step3: Combine the results

Multiply the results from step 1 and step 2: \(0.8\times1 = 0.8\). But in scientific - notation, \(a\) should satisfy \(1\leqslant|a|\lt10\). So, \(0.8=8\times10^{- 1}\)

Answer:

\(8\times10^{-1}\)