Question

Which of the following is equal to the square root of the cube root of 6? (4 points)

A. 6 to the power of one sixth


B. 6 to the power of one third


C. 6 to the power of two thirds


D. 6 to the power of three halves

Answer 1

A. 6 to the power of one sixth

Explanation:

To find the square root of the cube root of 6, you need to first find the cube root of 6, which is equal to 2. Then, you need to take the square root of 2, which is equal to 1.4142135623730951. Therefore, the square root of the cube root of 6 is equal to 1.4142135623730951.

To express this value using exponents, you can use the property that the square root of x is equal to x to the power of one half. Therefore, the square root of the cube root of 6 is equal to 6 to the power of one half of one third, which simplifies to 6 to the power of one sixth.