Question

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



Be sure to write your answer with the multiplication
×
×




(
9
×
1
0
4
)
(9×10
4
) ·
(
8
×
1
0
9
)
(8×10
9
)

Answer 1

To multiply the two numbers in scientific notation, you multiply the coefficients and add the exponents.

Given:

\[
(9 \times 10^4) \cdot (8 \times 10^9)
\]

Step 1: Multiply the coefficients (9 and 8).

\[
9 \times 8 = 72
\]

Step 2: Add the exponents (4 and 9).

\[
4 + 9 = 13
\]

Step 3: Combine the results into scientific notation.

The result is:

\[
72 \times 10^{13}
\]

However, since scientific notation typically has a coefficient between 1 and 10, we need to convert 72 into proper scientific notation:

\[
72 = 7.2 \times 10^1
\]

Thus, we rewrite our answer:

\[
7.2 \times 10^1 \times 10^{13}
\]

Now, combine the powers of 10:

\[
7.2 \times 10^{1 + 13} = 7.2 \times 10^{14}
\]

The final answer in scientific notation is:

\[
\boxed{7.2 \times 10^{14}}
\]