When is simplified, the result is , where is an integer, and is a positive integer. If is as small as possible, then what is ?
3√[-128] =
3√[ -1 * 64 * 2] =
3√ -1 * 3√64 * 3√2 =
-1 * 4 * 3√2 =
-4 3√2
So a + b = -4 + 2 = -2
+1314 ![$\sqrt[3]{-128}$](/api/ssl-img-proxy?src=http%3A%2F%2Flatex.artofproblemsolving.com%2F9%2Fc%2F7%2F9c774fcbc40e845a1a14f3a9e915b1744f186558.png)
is simplified, the result is ![$a\sqrt[3]{b}$](/api/ssl-img-proxy?src=http%3A%2F%2Flatex.artofproblemsolving.com%2Fd%2F0%2F3%2Fd03417daee0577f3d2eaa2fb033898ad6f6ff3f6.png)
, where 
is an integer, and 
is a positive integer. If is as small as possible, then what is 
?
