Simplify (2t^-3)^3 (0.4r)^2

Answer 1

To simplify the expression, we can simplify each term individually before raising them to their respective powers.

Starting with (2t^-3)^3:
(2t^-3)^3 = (2^3)(t^-3)^3
= 8t^-9
= 8/t^9

Now let's simplify (0.4r)^2:
(0.4r)^2 = (0.4^2)(r^2)
= 0.16r^2

So the simplified expression is:
(2t^-3)^3 (0.4r)^2 = (8/t^9)(0.16r^2)
= 1.28r^2/t^9