Question

Select all radical expressions that are equivalent to 5 2/3

Answer 1

Answer:

1&3

Step-by-step explanation:

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Answer 2

Answer:

1 and 3

Step-by-step explanation:

1. (5^(1/3))^2 = 5^(2/3)
2. (5^2)^(1/2) = 5^(2/2) = 5
3. (5^2)^(1/3) = 5^(2/3)
4. (5·3)^(1/2) = 5^(1/2)·3^(1/2)
5. (5^(1/2))^3 = 5^(3/2)
6. (5·2)^(1/3) = 5^(1/3)·2^(1/3)

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Applicable rules are ...

$\sqrt[n]{x^{m}}=x^{\frac{m}{n}}\\\\(x^{b})^{c}=x^{bc}\\\\(ab)^{c}=a^c\cdot b^c$