Mathematics: LoL i need help with this question oof

C is the anwserStep-by-step explanation:...

LoL i need help with this question oof

nunyuh69

22.01.2022

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^{\frac{1}{m}}$

Using this rule in the given expression:

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

Apply exponent rule:

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

Using this rule:

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

On multiplying 3 and $\frac{1}{5}$ , we get $\frac{3}{5}$ .

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

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

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nataliahenderso

22.01.2022

Step-by-step explanation:

5 on the radical is basically power ⅕

[(n+4)³]^⅕

(n+4)^⅗

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