Question

Question 96:

A googal is the number 1 followed by 100 zeroes.
(a) How is a googol written as a power?
(b) How is a googol times a googol written as a power?

Answer 1

(a) 1 googol=1000 _ _ _ 0=$1\times {10}^{100}$ [as there are 100 zeroes after 1]

(b) Googol times googol means multiply googol by googol.
$\therefore$ Required number= $googol\times googol={10}^{100}\times {10}^{100}[\because 1googol={10}^{100}]={10}^{100+100}[\because a^m\times a^n=a^{m+n}]={100}^{200}$