(7.98x 10 ^-5) (5 x 10^-5

1 answer

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

  1. Multiply the coefficients: \( 7.98 \times 5 = 39.9 \)
  2. Add the exponents: \( -5 + -5 = -10 \)

Now, combine the results:

\[ 39.9 \times 10^{-10} \]

Next, you should express \( 39.9 \) in proper scientific notation. Since \( 39.9 \) is not between 1 and 10, we can write it as:

\[ 3.99 \times 10^1 \]

Now, we combine this with the \( 10^{-10} \):

\[ 3.99 \times 10^1 \times 10^{-10} = 3.99 \times 10^{-9} \]

So, the final result is:

\[ \boxed{3.99 \times 10^{-9}} \]