Question

6
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
−
3
)
(6×10
−3
) ·
(
3
×
1
0
7
)
(3×10
7
)

Answer 1

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

1. Multiply the coefficients (the numbers in front).
2. Add the exponents of the base 10.

Given the numbers:

\[
(6 \times 10^{-3}) \cdot (3 \times 10^{7})
\]

Step 1: Multiply the coefficients:

\[
6 \times 3 = 18
\]

Step 2: Add the exponents:

\[
-3 + 7 = 4
\]

So we have:

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

Step 3: Since we are writing the result in scientific notation, we need to express \(18\) as \(1.8 \times 10^{1}\):

\[
18 \times 10^{4} = (1.8 \times 10^{1}) \times 10^{4}
\]

Now combine the powers of 10:

\[
1.8 \times 10^{1 + 4} = 1.8 \times 10^{5}
\]

Thus, the final answer in scientific notation is:

\[
\boxed{1.8 \times 10^{5}}
\]