Question

calculate.
(1.2×10⁻⁹)(3.8×10⁴)
write your answer in scientific notation.

Explanation:

Step1: Multiply the coefficients

Multiply \(1.2\) and \(3.8\). So, \(1.2\times3.8 = 4.56\).

Step2: Add the exponents of 10

Using the rule \(a^m\times a^n=a^{m + n}\) for \(10^{-9}\times10^{4}\), we get \(10^{-9 + 4}=10^{-5}\).

Step3: Combine the results

Multiply the results from Step1 and Step2. So, \((1.2\times10^{-9})(3.8\times10^{4})=4.56\times10^{-5}\).

Answer:

\(4.56\times10^{-5}\)