Calculate the expression -5^2 + (-5)^2 / 5^2

Published on February 2, 2025

Pre-Algebra

The expression evaluates to 0 after calculating the numerator and denominator separately and then dividing them.

Question

Answer

The problem is to evaluate the expression:
We need to follow the order of operations (PEMDAS/BODMAS).
First, let’s evaluate the terms in the numerator:
Term 1: . In this case, the exponent applies only to the base 5, not to the negative sign. So, we first calculate , and then apply the negative sign.
Term 2: . Here, the parentheses indicate that the exponent applies to the entire base . So, we multiply by itself.
Now, we can substitute these values back into the numerator:
Numerator =
Next, let’s evaluate the denominator:
Denominator =
Finally, we can evaluate the entire fraction:
Dividing 0 by any non-zero number results in 0.
Thus, the value of the expression is 0.
Final Answer: The final answer is