This problem is going to reveal the first name of the offender.

Simplify the expression:

(64⋅69/63)3
If the simplified expression is

6^16
, the first name of the culprit is Mandy.
If the simplified expression is

6^18
, the first name of the culprit is Lila.
If the simplified expression is

6^30
, the first name of the culprit is Ervin.
If the simplified expression is

6^33
, the first name of the culprit is Dean.
Select the first name of the culprit.

Ervin

Mandy

Lila

Dean

4 answers

Can not see the expression
by (64⋅69/63)3

do you mean:
- (64⋅69/63)^3 ?
- (64⋅69/63)⋅3 ?
- (64⋅69/63)/3 ? , or some other combination?

in any case, none of them can be expressed as a power with base 6
the expression is (64⋅69/63)3
As I read that expression --

(64 - 6) * 3 = 174

As Reiny said, that cannot be expressed as a power with base 6.