CAS and exponents issues

[sasa]

While testing latest public beta, I have noticed some strange behaviour in CAS mode. Since I have no actual calculator with CAS abilities, this may be expected, still I do not believe any person will be comfortable with...

For instance:

\(\sqrt{50}=\sqrt{2} \cdot 5\)
\(50^{1/2} = 5 \cdot \sqrt{2}\)

However:

\(2^{100} \cdot 2^{200}=203703...\), instead simply \(2^{300}\)
\(2^{21} \cdot 9^{1/5}=9^{1/5} \cdot 2097152\), instead simply \(2^{21} \cdot 3^{2/5}\)
\(2^{1/3} \cdot 3^{1/3}=2^{1/3} \cdot 3^{1/3}\), instead simply \(6^{1/3}\)
\(9^{1/5}=9^{1/5}\), instead simply \(3^{2/5}\)
\(3^{2/5}=(3^{1/5})^2\)...

And similar. I have found no CAS settings in beta Prime simulator regarding handling exponents more "naturally", regardless automatic simplicity level settings, or even using simplify() function.

The most problematic is still displaying extremely large integers (similarly with negative exponents exactly the same reciprocal), which is quite problematic with more complex expressions.