Сократите дробь: ...........100^n....... (2^{2n-1} * 5^{2n-2})

Question

Сократите дробь:

...........100^n.......

(2^{2n-1} * 5^{2n-2})

Answer 1

100^n /(2^{2n-1}  * 5^{2n-2}) =

100^n * 2 * 5^2 /(2^{2n} *5^{2n})=

100^n *50 /(4^{n}*25^{n})=

100^n*50 /(100^{n})=50