Final answer:
The quotient 1.64 x 100 expressed in scientific notation is 1.64 x 10², which corresponds to option A.
Step-by-step explanation:
To calculate the quotient 1.64 x 100 and express it in scientific notation, you multiply the number 1.64 by 100. Doing this calculation gives a result of 164. Now, to express 164 in scientific notation, you want a single non-zero digit to the left of the decimal point. Therefore, you move the decimal two places to the left which makes the exponent for 10 equal to 2 (because you moved the decimal two places). The number 164 expressed in scientific notation becomes 1.64 x 10². Hence, the correct answer is option A: 1.64 x 10².