Final answer:
To solve the expression '150 L^3/4 L', divide the numbers while considering significant figures, resulting in 37.5 L^2 but rounding to one significant figure to match the least precise measurement, hence the answer is 40 L^2.
Step-by-step explanation:
To solve the expression 150 L^3/4 L with the correct number of significant figures and the appropriate units, first perform the division:
150 L^3 / 4 L = 37.5 L^2
Since 150 is assumed to have three significant figures (because trailing zeros in a number with no decimal point are ambiguous), and 4 has only one significant figure, the answer should be rounded to one significant figure. However, since this creates ambiguity in the measurement (as 40 L^2 would suggest a different level of precision), it is common practice to retain the significant digit in the result for clarity. Therefore, the final answer would be:
40 L^2 (rounded to two significant figures for clarity).