# Rep Digit Palindrome expressed as a Unique set of Pan Digital Relations

Allowed Operations:

Addition, Subtraction, Multiplication, Division, Exponentiation. Right and Left Bracket use permitted.

Express $$2222$$ In $$2$$ Different ways using all the digits 1 to 9 only once in each expression.

$$2222$$ =

$$2222$$ =

• So you can't use zero? – Duck May 31 at 2:23
• No..only 1 to 9,,all need to be used without repeating – Uvc May 31 at 2:28
• And also, can you make, for example, 4 and 5, 45? – Duck May 31 at 2:29
• If you mean it as forty five..sure – Uvc May 31 at 2:31
• Yes, thank you. – Duck May 31 at 2:31

## 2 Answers

I'm going to try:

$$2222=1987+234-5+6$$

and

$$2222=1986+234-5+7$$

Just a little bit after @JonMark Perry

$$(49+52) * (8+3) * (7-6+1)$$

and technically different

$$(42+59) * (3+8) * (7-6+1)$$

• Good one......... – Uvc May 31 at 18:48
• Just some prime factorization... – Duck May 31 at 22:20