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:

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