Basic Mathematics
# Basic Arithmetic

\[ \large \color{red}3^{\color{blue}{1506}} - \color{red}3^{\color{blue}{1505}} = \ ? \]

Evaluate \[ \left( 20142014 \times 20142014-20142004 \times 20142024 \right).\]

\[\Large \color{blue}{n}^{\color{red}{200}} < \color{green}{5}^{\color{brown}{300}}\]

Find the largest integer \(n\) that satisfies the above inequality.

Fill the empty squares with integers from 1 to 9, using each integer exactly once, to get the given results. Calculations are done from left to right, and from top to bottom.

What is the sum of the sums of numbers on the 2 diagonals?

**Note that the center square is added twice.**

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