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

Answer:

Option (d) is correct.

$\sqrt[5]{13^3}=13^{\frac{3}{5}}$

Step-by-step 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 $\sqrt[5]{13^3}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}}$

We have,

$\sqrt[5]{13^3}=13^{\frac{3}{5}}$

Thus, Option (d) is correct.