Question

Simplifly the expression 64^7/12

Answer 1

Answer:

$8\sqrt{2}$

Step-by-step explanation:

we have

$64^{\frac{7}{12}}$

we know that

$64=2^{6}$

substitute

$64^{\frac{7}{12}}=(2^{6})^{\frac{7}{12}}\\ \\=(2)^{\frac{6*7}{12}} \\ \\=(2)^{\frac{7}{2}} \\ \\=\sqrt{2^{7}}\\ \\=2^{3}\sqrt{2} \\ \\=8\sqrt{2}$