Multiply. Write your answer in scientific notation. (5 × 10^(-12))(2 × 10^(8))

To multiply these two numbers in scientific notation, you multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.

1. Multiply the coefficients:

(5 times 2 = 10)

2. Add the exponents:

(-12 + 8 = -4)

3. Combine the results:

You get (10 times 10^{-4}).

Since (10) is not in proper scientific notation (which requires a coefficient between (1) and (10)), you rewrite (10) as (1.0 times 10^1), so:

[

(1.0 times 10^1) times (10^{-4}) = 1.0 times 10^{1 – 4} = 1.0 times 10^{-3}

]

So, the final answer in scientific notation is:

[
1.0 times 10^{-3}

]

Great job working through this! If you need further clarification or assistance, feel free to ask!