Final answer:
The values for the expressions are, respectively, 1.96, 6, and approximately 1.3333. Scientific notation is not required for these particular results.
Step-by-step explanation:
The student has asked to evaluate the value of each expression and express the answers in scientific notation where possible. Here are the step-by-step solutions:
- 1.4²: Square the number 1.4 by multiplying it by itself: 1.4 * 1.4 = 1.96.
- 300 ÷ 2(0.5 + 4.5)²: First, perform the addition inside the parentheses: 0.5 + 4.5 = 5. Then, square the result: 5² = 25. Multiply 2 by 25 to get 50. Finally, divide 300 by 50 to get 6.
- 1/3 ÷ 2(1/2)³: Cube (1/2)³ which equals 1/8. Multiply 2 by 1/8 to get 1/4. Lastly, divide 1/3 by 1/4; invert the second fraction and multiply to get 4/3 or 1.3333...
Note that for the given student question, scientific notation is not required as none of the expressions result in particularly large or small numbers. However, for other calculations involving very large or small numbers, scientific notation would simplify the expression and the final answer.