what is 5.5 x 10^4 multiplied by 2.2 x 10^-8

Answer 1

To multiply the numbers \( 5.5 \times 10^4 \) and \( 2.2 \times 10^{-8} \), you can follow these steps:

1. Multiply the coefficients: \[ 5.5 \times 2.2 = 12.1 \]

2. Add the exponents of the powers of ten: \[ 10^4 \times 10^{-8} = 10^{4 + (-8)} = 10^{-4} \]

3. Combine the results: \[ 12.1 \times 10^{-4} \]

To express this in standard scientific notation, you would adjust \( 12.1 \) to be between 1 and 10: \[ 12.1 \times 10^{-4} = 1.21 \times 10^{-3} \]

So, the final result is: \[ \boxed{1.21 \times 10^{-3}} \]