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

Answer 1

Using the rules of exponents, we can simplify the expression.

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

First, let's simplify (2t^-3)^3:
(2t^-3)^3 = 2^3 * (t^-3)^3 = 8 * t^-9 = 8/t^9

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

Finally, putting it all together:
(2t^-3)^3(0.4r)^2 = (8/t^9) * (0.16r^2) = (8 * 0.16 * r^2) / t^9 = 1.28r^2 / t^9

Therefore, the simplified expression is 1.28r^2 / t^9.