# Radicals-> Exponential equations

how would I take the cube root of the square root of 2 as an exponential equation? the square root of 2 is 21/2 but I dont know what to do with the cube root.

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## Answers and Replies

cristo
Staff Emeritus
The cubed root of x is x1/3. So, your expression for the cubed root of the square root of 2 is $$(2^{\frac{1}{2}})^{\frac{1}{3}}$$. Can you simplify this?

well Id have to simplify it, because im supposed to turn the new simplified exponent to a radical

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HallsofIvy