Data Sufficiency (DS) | Re: Is r^x < 100?

Statement 1: if\(r<0\) , then\(x<0\) and if\(r>0\) then\(x>0\)

\(r=-200\) &\(x=-8\) , then\(r*\sqrt[3]{x}\) \(=-200*-2=400>100\)

but\(r^x\) \(= (-200)^{-8} = \frac{1}{(-200)^8}\)\(<100\)

if\(r=200\) and\(x=8\) , then\(r*\sqrt[3]{x}>100\) \(=200*2=400>100\)

but\(r^x=200^8>100\) . Hence insufficient

Statement 2:\(x>\) 1 but nothing given about\(r\) . hence insufficient

Combining 1 & 2 we know that\(x>0\) , hence\(r>0\) so\(r^x>100\) . Hence we get a
...

---