Respuesta :

Answer:  b) 16

Step-by-step explanation:

[tex]64^{\frac{2}{3}}=(2^6)^{\frac{2}{3}}=2^{\frac{12}{3}}=2^4=2\cdot \cdot 2\cdot 2\cdot 2=\boxed{16}[/tex]

Answer:

[tex]\boxed{\bold{16}}[/tex]

Step By Step Explanation:

Factor: [tex]\bold{64=4^3}[/tex]

[tex]\bold{\left(4^3\right)^{\frac{2}{3}}}[/tex]

Apply Exponent Rule [tex]\bold{\left(a^b\right)^c=a^{bc}: \ \left(4^3\right)^{\frac{2}{3}}=4^{3\cdot \frac{2}{3}}=4^2}[/tex]

[tex]\bold{4^2}[/tex]

Refine

[tex]\bold{16}[/tex]