Question

Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?

Answer 1

Answer:

The correct option is B:

B) x superscript five-thirds Baseline y superscript one-third

Step-by-step explanation:

The expression can be written as:

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

We know that cube root can also be written as the power of 1/3, So

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

Multiplying the power with both variables

$(x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}$

Simplifying the equation to get final form

$x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}$

As we can see that it is similar to the option B which is

B) x superscript five-thirds Baseline y superscript one- third

the correct option is B

Answer 2

Answer:

B

Step-by-step explanation: