Question

Which number is larger $(1.1{)}^{100000}$ or $10,000$?

Answer 1

By Binomial Theorem.
$(1.1{)}^{100000}=(1+0.1{)}^{100000}$
$=1{+}^{100000}{C}_1$+ other positive terms
$=1+100000\times 0.1$+ other positive terms
$=1+100000$ + other positive terms
Hence, $(1.1{)}^{100000}>10,000$