Question

multiply. write your answer in scientific notation. (4 × 10²)(2 × 10⁻⁹)

Explanation:

Step1: Multiply the coefficients

$4\times2 = 8$

Step2: Multiply the powers of 10

$10^{2}\times10^{-9}=10^{2+( - 9)}=10^{-7}$ (using the rule $a^{m}\times a^{n}=a^{m + n}$)

Step3: Combine the results

$8\times10^{-7}$

Answer:

$8\times10^{-7}$