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

Question

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.

$2222$ =

$\begingroup$ So you can't use zero? $\endgroup$
– Duck
May 31, 2019 at 2:23 — Duck, May 31, 2019 at 2:23
$\begingroup$ No..only 1 to 9,,all need to be used without repeating $\endgroup$
– Uvc
May 31, 2019 at 2:28 — Uvc, May 31, 2019 at 2:28
$\begingroup$ And also, can you make, for example, 4 and 5, 45? $\endgroup$
– Duck
May 31, 2019 at 2:29 — Duck, May 31, 2019 at 2:29
$\begingroup$ If you mean it as forty five..sure $\endgroup$
– Uvc
May 31, 2019 at 2:31 — Uvc, May 31, 2019 at 2:31
$\begingroup$ For example: one of the terms could be..(5/1) ^ 3 $\endgroup$
– Uvc
May 31, 2019 at 2:36 — Uvc, May 31, 2019 at 2:36

JMP · Accepted Answer · 2019-05-31 03:32:42Z

4

I'm going to try:

$2222=1987+234-5+6$

and

$2222=1986+234-5+7$

answered May 31, 2019 at 3:32

JMP

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Duck · Accepted Answer · 2019-05-31 03:47:16Z

3

Just a little bit after @JonMark Perry

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

and technically different

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

answered May 31, 2019 at 3:47

Duck

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$\begingroup$ Good one......... $\endgroup$
– Uvc
May 31, 2019 at 18:48
$\begingroup$ Just some prime factorization... $\endgroup$
– Duck
May 31, 2019 at 22:20

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2 Answers 2