Question

Multiply and write your answer in scientific notation. Click Here for Help Video.



Be sure to write your answer with the multiplication
×
×





(
6
×
1
0
−
2
)
(6×10
−2
) ·
(
3
×
1
0
8
)
(3×10
8
)

Answer 1

To multiply the numbers in scientific notation, you can follow these steps:

1. **Multiply the coefficients**: Multiply the coefficients of the two numbers.
2. **Add the exponents**: Add the exponents of the powers of 10.

Using the values given:

\[
(6 \times 10^{-2}) \cdot (3 \times 10^{8})
\]

1. **Multiply the coefficients**:
\[
6 \cdot 3 = 18
\]

2. **Add the exponents**:
\[
-2 + 8 = 6
\]

Now combine the results:
\[
18 \times 10^{6}
\]

Since \(18\) is not between \(1\) and \(10\), we need to convert it into proper scientific notation by writing it as \(1.8 \times 10^{1}\). Therefore, we adjust our expression:

\[
18 \times 10^{6} = (1.8 \times 10^{1}) \times 10^{6} = 1.8 \times 10^{7}
\]

So, the final answer in scientific notation is:

\[
\boxed{1.8 \times 10^{7}}
\]