Final answer:
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. The answer to (2.7 x 10^5) * (5.4 x 10^-1) is 14.58 x 10^4.
Step-by-step explanation:
To multiply numbers in scientific notation, you multiply the coefficients and add the exponents. In this case, we have (2.7 x 10^5) * (5.4 x 10^-1), so the product of the coefficients is 2.7 * 5.4 = 14.58. And the sum of the exponents is 5 + (-1) = 4. Therefore, the answer is 14.58 x 10^4, which corresponds to option C.