Problem 2

Algebra Level 4

\[\large { \left| x \right| }^{ \frac { 6 }{ 5 } }-26{ \left| x \right| }^{ \frac { 3 }{ 5 } }-27=0\] Product of real roots of the equation above can be represented as \( { -A }^{ B }\), where \(A\) is a prime number.

Find the value of \(A+B\).

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