Question

What is the value of the expression \[ \frac{(4.8)^4 + (3.5)^4 + 282.24}{(4.8)^2 + (3.5)^2 - 16.8} \]

• A. 52.45
• B. 52.09
• C. 51.29
• D. 50.45

Hint:

For expressions with powers, calculate each term individually before simplifying the entire expression.

Answer 1

The Correct Option is A

First, simplify the powers of 4.8 and 3.5 in the numerator and denominator: \[ (4.8)^4 = 530.8416, \quad (3.5)^4 = 150.0625, \quad (4.8)^2 = 23.04, \quad (3.5)^2 = 12.25 \] Substitute these values into the expression: \[ \frac{530.8416 + 150.0625 + 282.24}{23.04 + 12.25 - 16.8} = \frac{963.1441}{18.49} = 52.45 \]