Question

question 3 - 1 point
multiply the following and express the result in scientific notation.
(4 × 10⁸) (8 × 10⁵)
provide your answer below:
□ × 10^□

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 8. So, \(4\times8 = 32\).

Step2: Add the exponents of 10

Using the rule \(a^m\times a^n=a^{m + n}\), for \(10^{8}\times10^{5}\), we add the exponents: \(8 + 5=13\). So we have \(32\times10^{13}\).

Step3: Convert to proper scientific notation

Scientific notation requires the coefficient to be between 1 and 10. So, \(32\times10^{13}=3.2\times10^{1}\times10^{13}\). Using the rule \(a^m\times a^n=a^{m + n}\) again, we get \(3.2\times10^{1 + 13}=3.2\times10^{14}\).

Answer:

\(3.2\times 10^{14}\) (So the first box is 3.2 and the second box is 14)