\( 1 \leftarrow \quad \) Convert the given number to decimal form by expanding in powers and by using the calculator shortcut. \( 53523_{\text {six }} \) Expand \( 53523_{\text {six }} \) in powers. \( 53523_{\text {six }}=(\square)+(\square)+(\square)+(\square)+(\square) \) (Use descending order. Do not simplify.) Convert \( 53523_{\text {six }} \) to decimal form. \( 53523_{\text {six }}=\square \) (Simplify your answer.)

To convert \( 53523_{\text{six}} \) to decimal form, we expand it in powers of 6. Each digit is multiplied by 6 raised to the power of its position, starting from 0 on the right. Expanding \( 53523_{\text{six}} \): \[ 53523_{\text{six}} = 5 \cdot 6^4 + 3 \cdot 6^3 + 5 \cdot 6^2 + 2 \cdot 6^1 + 3 \cdot 6^0 \] So our expansion would look like this: \[ 5 \cdot 6^4 + 3 \cdot 6^3 + 5 \cdot 6^2 + 2 \cdot 6^1 + 3 \cdot 6^0 \] Now let's convert \( 53523_{\text{six}} \) to decimal form by calculating it step by step: \[ = 5 \cdot 1296 + 3 \cdot 216 + 5 \cdot 36 + 2 \cdot 6 + 3 \cdot 1 \] \[ = 6480 + 648 + 180 + 12 + 3 \] \[ = 7345 \] Therefore, \( 53523_{\text{six}} = 7345 \).