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ch4aika [34]
3 years ago
10

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

Mathematics
2 answers:
balandron [24]3 years ago
6 0

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

Amanda [17]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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