Question

Divide and write the result using scientific notation.
StartFraction 8 times 10 Superscript 5 Over 2 times 10 Superscript negative 6 EndFraction

Answer 1

To divide the two numbers given in scientific notation, we can use the properties of exponents and coefficients.

The expression we have is:

\[
\frac{8 \times 10^5}{2 \times 10^{-6}}
\]

First, we can divide the coefficients (the numbers in front):

\[
\frac{8}{2} = 4
\]

Next, we apply the quotient rule for exponents, which states that \( a^m / a^n = a^{m-n} \):

\[
\frac{10^5}{10^{-6}} = 10^{5 - (-6)} = 10^{5 + 6} = 10^{11}
\]

Now, we can combine these results together:

\[
4 \times 10^{11}
\]

Thus, the final answer in scientific notation is:

\[
\boxed{4 \times 10^{11}}
\]