Question

calculate.
$(4 \times 10^8)(2 \times 10^7)$
write your answer in scientific notation.

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 2. So, \(4\times2 = 8\).

Step2: Add the exponents of 10

Using the rule \(a^m\times a^n=a^{m + n}\), for \(10^8\times10^7\), we add the exponents: \(8 + 7=15\). So, \(10^8\times10^7 = 10^{15}\).

Step3: Combine the results

Multiply the results from Step 1 and Step 2: \(8\times10^{15}\).

Answer:

\(8\times10^{15}\)