Evaluate each expression.

1. $100 ^ { \frac { 3 } { 2 } }$ 

2. $27^{\left(-\frac{2}{3}\right)}$ 

   Hint (b):

   Flip the fraction first to $\frac{1}{27}$ eliminating the negative exponent.

3. ^{$\left(\frac{125}{27}\right)^{\frac{2}{3}}$} 

4. $\left(\frac{a^6}{27}\right)^{\left(-\frac{2}{3}\right)}$ 

   Step (d):

   $\Big(\frac{27}{a^6}\Big)^{2/3}$