343 = 7^3
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Well, darling, let's break it down for you. The cube root of 100 is 5, and the cube root of 400 is 7. So, the cube numbers between 100 and 400 are 125 (5^3), 216 (6^3), and 343 (7^3). Voilà!
56
The cube root of 8 is 2, and the cube root of 343 is 7. Therefore, the cube root of 8 over 343 is 2 over 7.
It is -7
7 x 7 x 7 = 343