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Evaluate the following expression.

left parenthesis StartFraction 1 minus left parenthesis negative 4 right parenthesis cubed Over 5 squared minus 4 times 3 EndFraction right parenthesis squared

1 answer

To evaluate the given expression, we start by simplifying the numerator of the fraction:

1 - (-4) = 1 + 4 = 5

Next, we simplify the denominator of the fraction:

5^2 - 4 * 3 = 25 - 12 = 13

So, the fraction becomes 5/13.

The expression now becomes:

(5/13)^2 = (5/13) * (5/13) = 25/169

Therefore, the evaluated expression is 25/169.