a.
2 ^{-2} + 3 ^3 =(\frac{1}{2})^2+9=9\frac{1}{4}
b.
6^2 - 5^{-2}=36-(\frac{1}{5})^2=36-\frac{1}{25}=35\frac{24}{25}
c.
4^{-3} - 4^{-2}=(\frac{1}{4})^3-(\frac{1}{4})^2=\frac{1}{64}-\frac{1}{16}=\frac{1-4}{64}=-\frac{3}{64}
d
6 ^2 - 6^2 * ( \frac{1}{2}) ^2 =36-\not36^9*\frac{1}{\not4^1}=36-9=27
e
2^1 + 3^0 + 4^1 + 5^0 =2+1+4+1=8
f.
3^{-3} : 3^{-4} * 3=3^{-3-(-4)}*3=3^1*3^1=3^2=9