3-root(x^3 y^6) Which of the following expressions is equivalent to the expression above?

The correct answer is B. Choice B is correct. One of the properties of radicals is n-root(a b) = n-root(a) n-root(b) . Thus, the given expression can be rewritten as 3-root(x^3) 3-root(y^6) . Simplifying by taking the cube root of each part gives x^1 y^2 , or x y^2 .

Note: The listed x and y values make the original expression and choice B print the same outputs.

SAT Question a520ba07: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect and may be the result of incorrect application of the properties of exponents and radicals.

Choice C

Choice C is incorrect and may be the result of incorrect application of the properties of exponents and radicals.

Choice D

Choice D is incorrect and may be the result of incorrect application of the properties of exponents and radicals.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question a520ba07: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong