Question

(2t+4)^4./. r^2, for r=-2 and t=-4

Answer 1

To evaluate the expression `(2t+4)^4 / r^2` for `r=-2` and `t=-4`, we first need to substitute these values into the expression:

`(2t+4)^4 / r^2 = (2(-4)+4)^4 / (-2)^2`

Simplifying the numerator:

`= (2(-4) + 4)^4 / (-2)^2`

`= (8)^4 / 4`

`= 4096 / 4`

`= 1024`

Therefore, the value of the expression `(2t+4)^4 / r^2` for `r=-2` and `t=-4` is `1024`.