Question

Which expression is equivalent to 16 ^3/4

Answer 1

Solve the equation is

= (2^4)^3/4

=2^3

=8

Answer 2

`8`

Explanation:

we have

`16^((3/4))`

we know that

`16=2^(4)`

substitute

`16^((3/4))=(2^(4))^((3/4))`

remember that

`(a^(m))^(n) =a^(m*n)`

therefore

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