Respuesta :

Answer:

The correct option is C. 5

Therefore,

[tex](5^{\frac{1}{3})^{3}\ =\ \d5[/tex]

Step-by-step explanation:

Simplify

[tex](5^{\dfrac{1}{3})^{3}=?[/tex]

Solution:

Using Identity

[tex](x^{a})^{b}=x^{(a\times b)}[/tex]

So in the given expression

[tex]x = 5\\a=\dfrac{1}{3}\\\\b=3[/tex]

Therefore,

[tex](5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5[/tex]

Therefore,

[tex](5^{\frac{1}{3})^{3}\ =\ \d5[/tex]

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