Question

Perform the indicated computation. Write the answer in scientific notation.
StartFraction 3.6 times 10 Superscript 8 Over 4 times 10 Superscript 4 EndFraction
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Part 1
StartFraction 3.6 times 10 Superscript 8 Over 4 times 10 Superscript 4 EndFraction
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​(Use the multiplication symbol in the math palette as​ needed.)

Answer 1

To compute the expression

\[
\frac{3.6 \times 10^8}{4 \times 10^4}
\]

we can simplify it step by step.

1. **Divide the coefficients**:
\[
\frac{3.6}{4} = 0.9
\]

2. **Subtract the exponents** (since we are dividing powers of ten):
\[
10^{8 - 4} = 10^4
\]

3. **Combine the results**:
\[
0.9 \times 10^4
\]

In scientific notation, we need to express \(0.9\) in the standard form of scientific notation, which is \(9.0 \times 10^{-1}\). Thus we rewrite our expression:

\[
0.9 \times 10^4 = 9.0 \times 10^{-1} \times 10^4
\]

Now, we can combine the powers of ten by adding the exponents:

\[
9.0 \times 10^{-1 + 4} = 9.0 \times 10^3
\]

So, the final answer in scientific notation is:

\[
\boxed{9.0 \times 10^3}
\]