This image seems to contain a mathematical expression involving powers and exponents. The key part of the calculation appears to be simplifying the expression:

$\frac{10^5}{2^2} = 5$

Then, it simplifies further by subtracting powers of 5:

$5^5 \div 2^2 = 5^3$

Let me break it down for you:

1. The original expression is $\frac{10^5}{2^2}$.
2. We can simplify $2^2 = 4$, so the expression becomes: $\frac{10^5}{4}$
3. We simplify powers of 10 as $10^5 = 100000$, and now we have: $\frac{100000}{4} = 25000$
4. Finally, you subtract 2 from the exponent, resulting in the simplified form $5^3$.

Let me know if you need more detailed steps or if you'd like to dive deeper into exponent rules!

Would you like any further clarifications on this? Here are some related questions you might find interesting:

1. What is the rule for dividing powers with the same base?
2. How do you simplify powers of 10?
3. What happens when you multiply terms with the same exponent?
4. How do you simplify a fraction involving exponents?
5. Can the same rules apply to fractional exponents?

Tip: Remember, when dividing two powers with the same base, subtract the exponents!