Question

What is
(40^7)/(2^30 x 25^3)
and why

Answer 1

Answer: 5/(2)^9

Explanation:

(40^7)/(2^30 x 25^3)=

(2*2*2*5)^7 / (2^30 x (5*5)^3)=

(2^7 * 2^7 * 2^7 * 5^7) / (2^30 x 5^3 * 5^3)=

(2^(7+7+7) * 5^7) / (2^30 x 5^(3+3))=

(2^21 * 5^7) / (2^30 x 5^6)=

2^(-9) * 5^1=5/(2)^9