Question

scientific operations
multiply these scientific notation numbers and give the answer in scientific notation:
(6 x 10⁴)(3 x 10²)

Explanation:

Step1: Multiply the coefficients

Multiply 6 and 3. So, \(6\times3 = 18\).

Step2: Multiply the powers of 10

Using the rule \(a^m\times a^n=a^{m + n}\), for \(10^4\times10^2\), we get \(10^{4+2}=10^6\).

Step3: Combine and adjust to scientific notation

We have \(18\times10^6\). But in scientific notation, the coefficient should be between 1 and 10. So, rewrite 18 as \(1.8\times10^1\). Then, \(1.8\times10^1\times10^6=1.8\times10^{1 + 6}=1.8\times10^7\).

Answer:

\(1.8\times10^{7}\)