Final answer:
To evaluate the expression 3.0×10−1/2.40×102, divide the coefficients and subtract the exponents. The result is 1.25×10−3, which is the final answer in proper scientific notation.
Step-by-step explanation:
We want to evaluate the expression 3.0×10−1/2.40×102. This involves using the laws of exponents and scientific notation. First, we'll divide the coefficients (3.0/2.40) and then subtract the exponents (-1 - 2), since we're dividing terms with the same base of 10.
Dividing the coefficients gives us 1.25. With the exponents, we get -1 - 2 = -3. So, the expression simplifies to 1.25×10−3. Finally, to express this in proper scientific notation, we might need to adjust the coefficient so that it's between 1 and 10. However, in this case, the coefficient is already proper, so our final answer is 1.25×10−3.