Question

Simplify. Please provide steps on how to solve so I can learn.

Answer 1

Answer: Choice C

`(xy)^(1/2)` which is equivalent to
`√(xy)`

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Step-by-step explanation:

The exponent for the y term inside the parenthesis is 1/6 and then that expression is raised to the 3rd power. The exponents multiply to (1/6)*3 = 3/6 = 1/2

This means
`\left(y^(1/6)\right)^3 = y^(1/2)`

Having an exponent of 1/2 is the same as applying the square root, so,

`√(x) = x^(1/2)`

Meaning,

`y^(1/2)√(x) = y^(1/2)x^(1/2) = (xy)^(1/2) = √(xy)`