Question

Simplifly the expression 64^7/12

Answer 1

`8√(2)`

Explanation:

we have

`64^{(7)/(12)}`

we know that

`64=2^(6)`

substitute

`64^{(7)/(12)}=(2^(6))^{(7)/(12)}\\ \\=(2)^{(6*7)/(12)} \\ \\=(2)^{(7)/(2)} \\ \\=\sqrt{2^(7)}\\ \\=2^(3)√(2) \\ \\=8√(2)`