Question

multiply. what is the product (3 x 10^9 ) x (2 x 10^17) in scientific notation?

Answer 1

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

1. Multiply the coefficients (the numbers in front).
2. Add the exponents (the powers of ten).

For the given numbers:

\[
(3 \times 10^9) \times (2 \times 10^{17})
\]

1. First, multiply the coefficients:

\[
3 \times 2 = 6
\]

2. Then, add the exponents:

\[
10^9 \times 10^{17} = 10^{(9 + 17)} = 10^{26}
\]

Now, combine the results:

\[
6 \times 10^{26}
\]

Thus, the product in scientific notation is:

\[
\boxed{6 \times 10^{26}}
\]