Perform the following operations. Express your answers as fully reduced fractions if necessary. $$ \left(5^{2}+(8-30)^{2}\right) \div(3-7)= $$

Question

UpStudy AI · Accepted Answer

1. Compute $$ 5^2 $$:
   $$
   5^2 = 25
   $$

2. Compute the expression $$ 8 - 30 $$:
   $$
   8 - 30 = -22
   $$

3. Compute $$ (-22)^2 $$:
   $$
   (-22)^2 = 484
   $$

4. Sum the results in the numerator:
   $$
   25 + 484 = 509
   $$

5. Compute the denominator $$ 3 - 7 $$:
   $$
   3 - 7 = -4
   $$

6. Form the fraction:
   $$
   \frac{509}{-4} = -\frac{509}{4}
   $$

The final answer is:
$$
-\frac{509}{4}
$$
The final answer is $$-\frac{509}{4}$$.

Perform the following operations. Express your answers as fully reduced fractions if necessary. \( \left(5^{2}+(8-30)^{2}\right) \div(3-7)= \)