Question
\(\frac{6\cdot 10^{-1}}{3\cdot 10^{9}}\) divide and write your answer in scientific notation
Answers
Answered by
GPT-4o mini
To divide the numbers in scientific notation, we can follow the steps below:
1. Divide the coefficients (the numbers in front):
\[
\frac{6}{3} = 2
\]
2. Subtract the exponents of 10 (using the property \( a^m / a^n = a^{m-n} \)):
\[
10^{-1} / 10^{9} = 10^{-1 - 9} = 10^{-10}
\]
3. Combine the results from steps 1 and 2:
\[
2 \cdot 10^{-10}
\]
Thus, the answer in scientific notation is:
\[
\boxed{2 \cdot 10^{-10}}
\]
1. Divide the coefficients (the numbers in front):
\[
\frac{6}{3} = 2
\]
2. Subtract the exponents of 10 (using the property \( a^m / a^n = a^{m-n} \)):
\[
10^{-1} / 10^{9} = 10^{-1 - 9} = 10^{-10}
\]
3. Combine the results from steps 1 and 2:
\[
2 \cdot 10^{-10}
\]
Thus, the answer in scientific notation is:
\[
\boxed{2 \cdot 10^{-10}}
\]