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What is 6^2/3 in radical form

User RexFuzzle
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2 Answers

1 vote

Final answer:

To express 6^2/3 in radical form, we need to convert the exponent 2/3 to a radical. The cube root of 6 squared is represented as ∛(6^2).

Step-by-step explanation:

To express 6^2/3 in radical form, we need to first convert the exponent 2/3 to a radical. The exponent 2/3 represents the cube root of the base. So, 6^2/3 is equal to the cube root of 6 squared.

The cube root of a number raised to a power is the same as raising the number inside the radical to that power. Therefore, the cube root of 6 squared is the same as 6 raised to the power of 2/3.

So, 6^2/3 in radical form is represented as the cube root of 6 squared, or ∛(6^2).

User Linsek
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3 votes
cube root of six squared

denominator becomes the index, the cube part
numerator status as the exponent of the base
User Dmitrii Bychkov
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5.2k points