Answer :

Certainly! Let's evaluate the given expression step by step:

The expression to evaluate is:

[tex]\[ \left(\frac{16 \cdot 27}{25}\right)^2 \left(\frac{50}{36}\right) \][/tex]

1. Calculate [tex]\((16 \cdot 27) / 25\)[/tex]:

[tex]\[ \frac{16 \cdot 27}{25} = \frac{432}{25} = 17.28 \][/tex]

2. Calculate [tex]\(\left( \frac{432}{25} \right)^2\)[/tex]:

[tex]\[ \left( \frac{432}{25} \right)^2 = 17.28^2 = 298.5984 \][/tex]

3. Calculate [tex]\(\frac{50}{36}\)[/tex]:

[tex]\[ \frac{50}{36} = 1.3888888888888888 \][/tex]

4. Finally, multiply the results from steps 2 and 3:

[tex]\[ 298.5984 \times 1.3888888888888888 = 414.72 \][/tex]

Therefore, the value of the expression [tex]\(\left(\frac{16 \cdot 27}{25}\right)^2 \left(\frac{50}{36}\right)\)[/tex] is:

[tex]\[ \boxed{414.72} \][/tex]