Question

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

Explanation:

Step1: Multiply coefficients

Multiply 1.3 and 3: \(1.3\times3 = 3.9\)

Step2: Add exponents of 10

For \(10^5\times10^7\), use \(a^m\times a^n=a^{m + n}\), so \(10^5\times10^7=10^{5 + 7}=10^{12}\)

Step3: Combine results

Multiply the coefficient and the power of 10: \(3.9\times10^{12}\)

Answer:

\(3.9\times10^{12}\)