Question

Which expression is equivalent

Answer 1

`\\ \sf\longmapsto \left((2^4)/(5^9)\right)^3`

`\boxed{\sf (a^m)^n=a^(mn)}`

`\\ \sf\longmapsto ((2^4)^3)/((5^9)^3)`

`\\ \sf\longmapsto (2^(4(3)))/(5^(9(3)))`

`\\ \sf\longmapsto (2^(12))/(5^(27))`

Answer 2

Explanation:

`\left((2^4)/(5^9)\right)^3 = (2^((4\cdot 3)))/(5^((9\cdot 3)))=(2^(12))/(5^(27))`