Question

multiply.
(9.6 × 10⁻⁹)(5.5 × 10⁻²)

Explanation:

Step1: Multiply the coefficients

Multiply 9.6 and 5.5. So, \(9.6\times5.5 = 52.8\)

Step2: Multiply the powers of 10

Using the rule \(a^m\times a^n=a^{m + n}\), for \(10^{-9}\times10^{-2}\), we get \(10^{-9+( - 2)}=10^{-11}\)

Step3: Combine the results

Combine the coefficient and the power of 10: \(52.8\times10^{-11}\)

Step4: Convert to proper scientific notation

We need to have one non - zero digit before the decimal. So, \(52.8\times10^{-11}=5.28\times10^{1}\times10^{-11}=5.28\times10^{-10}\)

Answer:

\(5.28\times10^{-10}\)