Question 1207258
20^10 / 40^5 equals:


2^10 * 10^10) / (2^5 * 2^5 * 10^5) equals:


(2^10 * 10^10) / (2^10 * 10^5) equals:


2^10 / 2^10 * 10^10 / 10^5 equals:


10^5 which is equal to 100,000.


you can use your calculator to confirm.


calculator tells you (20^10) / 40^5 = 100,000.


the concepts used are:


(a * b)^x = a^x * b^x


(a^x * b^x) / (a^y * b^y) = (a^x / a^y) * (b^x / b^y)


you can see the first concept in 20^10 = (2 * 10) ^ 10 = 2^10 * 10^20.


you can see the second concept in (2^10 * 10^10) / (2^10 * 10^5) = 2^10 / 2^10 * 10^10 / 10^5.