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]
