Question

which expression is equivalent to 3/x5y?
A. x5/3y
B. x5/3y1/3
C. x3/5y
D. x3/5y3

Answer 1

X^5/3Y^1/3 the correct answer is answer (B.) on edgenity

Answer 2

Answer:

Option B is correct

$x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}$

Step-by-step explanation:

Using the radical rule:

$(ab)^{\frac{1}{m} = a^{\frac{1}{m}} \cdot b^{\frac{1}{m}}$

Given the expression:

$\sqrt[3]{x^5y}$

we can write this as:

$(x^5y)^{\frac{1}{3}}$

Apply the radical rules:

$x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}$

Therefore, the expression which is equivalent to $\sqrt[3]{x^5y}$ is, $x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}$