evaluate 823²-820⁰

1 answer

To evaluate the expression \( 823^2 - 820^0 \), let's break it down step by step.

1. **Calculate \( 823^2 \):**

\[
823^2 = 823 \times 823
\]
\[
823 \times 823 = 677329
\]

2. **Calculate \( 820^0 \):**

Any non-zero number raised to the power of 0 is 1. So,

\[
820^0 = 1
\]

3. **Combine the results:**

\[
823^2 - 820^0 = 677329 - 1
\]
\[
677329 - 1 = 677328
\]

So, the value of \( 823^2 - 820^0 \) is \( \boxed{677328} \).