multiply.\n(9.6 × 10⁻⁹)(5.5 × 10⁻²)

multiply.\n(9.6 × 10⁻⁹)(5.5 × 10⁻²)

multiply.\n(9.6 × 10⁻⁹)(5.5 × 10⁻²)

Answer

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})