Question #6333

True or false: 17^1/3 is the same as the cube root of 17.

Expert's answer

Yes, that's true. Operation of cube root is also denoted as 1 divided by three (in case of any other root(square, fifth etc.) one is divided by the corresponding number). So,

<img src="data:image/png;base64,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" alt="">

<img src="data:image/png;base64,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" alt="">

## Comments

## Leave a comment