Question

Which of the following is equivalent to 5 sqrt 13^3 ? A)13^2.

B)13^15.
C)13^(5/3).
D)13^(3/5)

Answer 1

D) 13^(3/5)
This is assuming that the question is asking the √13^3. With the five as the yroot.

Answer 2

Option (d) is correct.

`\sqrt[5]{13^3}=13^{(3)/(5)}`

Explanation:

Given : expression
`\sqrt[5]{13^3}`

We have to find an equivalent expression to the given expression
`\sqrt[5]{13^3}`

Consider the given expression
`\sqrt[5]{13^3}`

`\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{(m)/(n)}`

We have,

`\sqrt[5]{13^3}=13^{(3)/(5)}`

Thus, Option (d) is correct.