Question

50x50x50-------(Where there are hundred 50’ s) is how many times 100 x 100 x 100 --------(Where there are fifty 100’ s)

Answer 1

$50^{100}*100^{50}=7.8886090522101180541172856528279*10^{169}$
Calculation:
$50^{100}*100^{50}=50^{100}*(2*50)^{50}=50^{150}*2^{50}= \frac{50^{150}2^{150}}{2^{100}}$
$= \frac{100^{150}}{2^{100}}= \frac{10^{300}}{2^{100}}=(1+1)^{-100}10^{300}$
then by using binomial theorem expansion
$=(1-100+ \frac{100(100+1)}{2!}-\frac{100(100+1)(100+2)}{3!}+\frac{100(100+1)(100+2)(100+3)}{4!}... )*10^{300}$
=7.8886090522101180541172856528279*10^{+169}