Respuesta :

Answer:

[tex](-27)^\dfrac{2}{3}[/tex] = 9

Step-by-step explanation:

Given that,

Asn expression : [tex](-27)^\dfrac{2}{3}[/tex]

We need to evaluate the above expression.

We know that, [tex](-3)^3=-27[/tex]

So,

[tex](-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}[/tex]

or

[tex]=(-3)^2\\\\=-3\times -3\\\\=9[/tex]

So, the value of [tex](-27)^\dfrac{2}{3}[/tex] is 9. Hence, the correct option is (b).

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