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When multiplying two values of the same base raised to different exponents, all you need to do is add the exponents. Similarly, when dividing them, you can simply subtract the exponents.

In the case of roots, the exponents are actually fractions, so you get:

x1/2 ÷ x1/3

= x(1/2 - 1/3)

= x(3/6 - 2/6)

= x1/6

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Q: What is the square root of x divided by the cube root of x?
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What is the square root and cube root of 64?

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