In all the puzzles that follow, the allowed operations and symbols are plus, minus, times, divide, exponentiation, radical, factorial, and parenthesis, except where otherwise noted.

**1.** Find an expression that uses the nine digits 1, 2, 3, … 9 in this order and equals 100. The plus and minus signs are forbidden.

**2.** Find an expression that uses the nine digits 1, 2, 3, … 9 in this order and equals 99. The plus and minus signs are forbidden.

**3.** Find an expression that uses four eights and equals 100.

**4.** Find an expression that uses four threes and equals 100.

[Solutions on page 2]