Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
we have
[tex]64^{\frac{7}{12}}[/tex]
we know that
[tex]64=2^{6}[/tex]
substitute
[tex]64^{\frac{7}{12}}=(2^{6})^{\frac{7}{12}}\\ \\=(2)^{\frac{6*7}{12}} \\ \\=(2)^{\frac{7}{2}} \\ \\=\sqrt{2^{7}}\\ \\=2^{3}\sqrt{2} \\ \\=8\sqrt{2}[/tex]
