Question

What is the simplest expression for (frac5 - 3 × 22 × 55/23 × 52)?

a) (frac1/2)
b) (frac2/3)
c) (frac3/4)
d) (frac4/5)

Answer 1

To simplify the expression (frac{5 - 3 imes 22 imes 55}{23 imes 52}), we can simplify the numerator and denominator separately. The simplest expression is (frac{-3625}{1196}).

Step-by-step explanation:

To simplify the expression (frac{5 - 3 imes 22 imes 55}{23 imes 52}), we can start by simplifying the numerator and denominator separately.

The numerator, 5 - 3 imes 22 imes 55 = 5 - 3 imes 1210 = 5 - 3630 = -3625

The denominator, 23 imes 52 = 1196

Now we can rewrite the expression as (frac{-3625}{1196}).

This fraction cannot be simplified any further, so the simplest expression for (frac{5 - 3 imes 22 imes 55}{23 imes 52}) is (frac{-3625}{1196}). Therefore, the correct answer is d) (frac{-3625}{1196}).