Question

What is the value of \[ \frac{(1.5)^4 + (1.2)^4 + 3.24}{(1.5)^2 + (1.2)^2 - 1.8}? \]

• A. 4.34
• B. 5.49
• C. 7.94
• D. 9.09

Hint:

For such problems, first simplify the powers and then perform the required addition or subtraction.

Answer 1

The Correct Option is B

First, evaluate the numerator: \[ (1.5)^4 = 5.0625, \quad (1.2)^4 = 2.0736 \] \[ \text{Numerator} = 5.0625 + 2.0736 + 3.24 = 10.3761 \] Now evaluate the denominator: \[ (1.5)^2 = 2.25, \quad (1.2)^2 = 1.44 \] \[ \text{Denominator} = 2.25 + 1.44 - 1.8 = 1.89 \] Now divide the numerator by the denominator: \[ \frac{10.3761}{1.89} \approx 5.49 \] Thus, the correct answer is 5.49.