Question

Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
A. x Superscript five-thirds Baseline y
B. s Superscript five-thirds Baseline y Superscript one-third
C. x Superscript three-fifths Baseline y
D. x Superscript three-fifths Baseline y cubed

Answer 1

Answer:

ITS A

Step-by-step explanation:

just took the test

Answer 2

The equivalent expression is $x^{\frac{5}{3}}y^{\frac{1}{3}}$. So, option B is correct.

The given expression is,

• $\sqrt[3]{x^5y}$

Explanation:

We have,

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

It can be written as:

$\sqrt[3]{x^5y}=(x^5y)^{\frac{1}{3}}$

$\sqrt[3]{x^5y}=(x^5)^{\frac{1}{3}}y^{\frac{1}{3}}$

$\sqrt[3]{x^5y}=x^{\frac{5}{3}}y^{\frac{1}{3}}$

Thus, the correct option is B.

Learn more:

https://brainly.com/question/16584599