What is 9 raised to the power ½? What is 8 raised to the power –1/3?

9 raised to the power ½ is 9^{½} = 3, because 3 is the square root of 9.

8 raised to the power –1/3 is 8^{–1/3} = 1/8^{1/3}.
This is one divided by the cube root of 8.
The cube root of 8 = 2.
So 8^{–1/3} = 1/2 = ½.

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Last updated: 2 October, 2007.