Problems

Using five twos, arithmetic operations and exponentiation, form the numbers from 1 to 26.

Using five threes, arithmetic operations and exponentiation, form the numbers from 1 to 39.

Using five fours, arithmetic operations and exponentiation, form the numbers from 1 to 22.

Using five fives, arithmetic operations and exponentiation, form the numbers from 1 to 17.

Using five sixes, arithmetic operations and exponentiation, form the numbers from 1 to 14.

Using five sevens, arithmetic operations and exponentiation, form the numbers from 1 to 22.

Using five eights, arithmetic operations and exponentiation, form the numbers from 1 to 20.

Using five nines, arithmetic operations and exponentiation, form the numbers from 1 to 13.

What word is encrypted: 22212221265121? Each letter is replaced by its number in the English alphabet.

Can the following equality be true: \[K \times O \times T = A \times B \times C \times D \times E \times F\] if you substitute the letters with the numbers from 1 to 9? Different letters correspond to different numbers.