If x ≠ 0 , which of the following expressions is equivalent to (sqrt(16x^4y^8))/(x^3) ?

The correct answer is D. Choice D is correct. Taking the square root of an exponential expression halves the exponent, so (sqrt(16x^4y^8))/(x^3) = (4x^2y^4)/(x^3) , which further reduces to (4y^4)/x . This can be rewritten as 4x^-1y^4 .

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

SAT Question 463eec13: Answer, Explanation & Desmos Solution

If $x \neq = 0$ , which of the following expressions is equivalent to $\frac{16 x ^{4} y ^{8}}{x ^{3}}$ ?

Difficulty:Medium

$8 x^{2} y^{4}$

$4 x y^{4}$

$4 x^{- 2} y^{2}$

$4 x^{- 1} y^{4}$

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 463eec13: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong