# Minixima

Algebra Level 5

For non-negative numbers $$a$$ and $$b$$ such that their sum is 1, let sum of maximum and minimum value of

$\large { a }^{ 8 }{ b }^{ 3 }+{ a }^{ 3 }{ b }^{ 5 }$

be denoted as $$z$$. Evaluate $$100z$$ to 2 decimal places.

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