Question

Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2​

Answer 1

`(225)/(64)`

Explanation:

`(4^3)^(-2) * (2^3)^4 * ((8)/(15))^(-2) =`

`= (2^2)^(-6) * 2^(12) * ((15)/(8))^(2)`

`= 2^(-12) * 2^(12) * (225)/(64)`

`= (225)/(64)`