Question

calculate.
$(1.3 \times 10^5)(3 \times 10^7)$
write your answer in scientific notation.

Explanation:

Step1: Multiply the coefficients

Multiply \(1.3\) and \(3\). So, \(1.3\times3 = 3.9\).

Step2: Add the exponents of 10

For numbers in scientific notation \(a\times10^m\) and \(b\times10^n\), when multiplying, we add the exponents: \(10^5\times10^7=10^{5 + 7}=10^{12}\).

Step3: Combine the results

Multiply the result from Step1 and Step2: \(3.9\times10^{12}\).

Answer:

\(3.9\times10^{12}\)