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).
