2 Answers

Starkm · Answer 1 · 2021-06-14T06:02:34+0000

Given expression:

$\sqrt[5]{(n+4)^(3)}$

To find:

The equivalent expression.

Solution:

$\sqrt[5]{(n+4)^(3)}$

Apply radical rule:

$$\sqrt[m]{a}=a^{(1)/(m)}$

Using this rule in the given expression:

$\sqrt[5]{(n+4)^(3)}=\left((n+4)^(3)\right)^{(1)/(5)}$

Apply exponent rule:

$\left(a^(b)\right)^(c)=a^(b c)$

Using this rule:

$\left((n+4)^(3)\right)^{(1)/(5)}=(n+4)^{3 \cdot (1)/(5)}$

On multiplying 3 and
(1)/(5) , we get
(3)/(5) .

$=(n+4)^{(3)/(5)}$

The equivalent expression for the given expression is
$(n+4)^{(3)/(5)}$ .

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