Question

multiply. write your answer in scientific notation.\\((3 \times 10^{8})(3 \times 10^{-4})\\)\\(\square \times 10^{\square}\\)

Explanation:

Step1: Multiply the coefficients

Multiply the coefficients (the numbers in front of the powers of 10). So, \(3\times3 = 9\).

Step2: Multiply the powers of 10

When multiplying powers of 10 with the same base, we add the exponents. Using the rule \(a^m\times a^n=a^{m + n}\), we have \(10^{8}\times10^{-4}=10^{8+( - 4)}=10^{4}\).

Step3: Combine the results

Combine the coefficient and the power of 10 from the previous steps. So the result is \(9\times10^{4}\).

Answer:

\(9\times10^{4}\)