To multiply the numbers in scientific notation, you can multiply the coefficients and add the exponents.
The expression you have is:
\(1 \times 10^4 \times 1 \times 10^{-2}\)
First, multiply the coefficients:
\(1 \times 1 = 1\)
Next, add the exponents:
\(4 + (-2) = 4 - 2 = 2\)
Putting it all together:
\(1 \times 10^2 = 10^2\)
So, \(1 \times 10^4 \times 1 \times 10^{-2} = 10^2\), which equals 100.