Answer:
[tex] \\ 27^{\frac{2}{3}} = 9 [/tex]
Step-by-step explanation:
Remembering some identities, we can solve the question:
[tex] \\ {(x^{a})}^b = x^{a * b} [/tex]
[tex] \\ x^{a} * x^{b} = x^{a + b} [/tex]
Then,
[tex] \\ 27^{\frac{2}{3}} = {(3^{3})}^{\frac{2}{3}} [/tex]
[tex] \\ 27^{\frac{2}{3}} = {3^{\frac{3*2}{3}}} [/tex]
[tex] \\ 27^{\frac{2}{3}} = 3^{2} [/tex]
[tex] \\ 27^{\frac{2}{3}} = 9 [/tex]
