Multiply. (2.4 × 10^{-2})(9.75 × 10^{-1}) What is the result?

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

1. Multiply the coefficients:

– 2.4 × 9.75 = 23.4

2. Add the exponents:

– (-2) + (-1) = -3

Now combine both results into scientific notation:

– The multiplication gives you 23.4 × 10^{-3}.

Next, convert 23.4 to proper scientific notation by expressing it as 2.34 × 10^{1}. Then adjust the exponent accordingly:

– 2.34 × 10^{1} × 10^{-3} = 2.34 × 10^{-2} (because 1 – 3 = -2).

Thus, the answer is 2.34 × 10^{-2}.

This corresponds to the option:

2.34 × 10^{-2}