Respuesta :


[tex]{ ( - 64)}^{ \frac{1}{3} } \: = \: {(( { - 4})^{3} ) }^{ \frac{1}{3} } \: = \: - 4[/tex]

Answer:

-4 is the simplified form. of the given expression.

Step-by-step explanation:

We have been given an expression:

[tex]-64^\frac{1}{3}[/tex]

We can rewrite 64 as [tex]4^3[/tex]

the given expression will be rewritten as:

[tex](-(4)^3)^\frac{1}{3}[/tex]

powers will get cancel out we get:

[tex]-4[/tex] is the required simplified form.

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