1. ( $5 \mathrm{p}$) a) Compare the natural numbers $a$ and $b$, knowing that:

$$
\begin{aligned}
& a=\left[\left(12^{2}-10^{2}\right): 11-1^{2014}\right]: 3-2014^{0} \\
& b=\left[\left(3^{4}-2^{16}: 2^{11}\right): 7-2 \cdot 3\right]^{2014}
\end{aligned}
$$

( 2p ) b) Using the numbers $a$ and $b$ determined in part a), perform:

$$
\overline{b b a a}-\overline{b a b a}+a^{b}-b^{a}
$$
1. a ) $a=[(144-100): 11-1]: 3=1-1=0$

$b=[(81-32): 7-6]^{2014}=1$

$a<b$

( 1 p )

b ) $\overline{b b a a}-\overline{b a b a}+a^{b}-b^{a}=1100-1010+0^{1}-1^{0}=90-1=89$