\frac{20^{2}}{\left\{3\left(5-9\right)^{2}+2\right\}}

Answer 1

Let's simplify the expression step by step.

First, let's simplify the expression inside the curly braces:
\[3(5-9)^2 + 2 = 3(-4)^2 + 2 = 3(16) + 2 = 48 + 2 = 50.\]

Next, let's substitute this value back into the original expression:
\[\frac{20^2}{\{3(5-9)^2 + 2\}} = \frac{20^2}{50}.\]

Finally, let's simplify this expression:
\[\frac{20^2}{50} = \frac{400}{50} = 8.\]

So, the final answer is 8.