Question Simplify (2t^–3)^3(0.4r)^2

Answer 1

To simplify the expression (2t^–3)^3(0.4r)^2, we can apply the rules of exponents.

First, let's simplify (2t^–3)^3:

(2t^–3)^3 = 2^3 * (t^–3)^3

= 8 * t^–9

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

(0.4r)^2 = 0.4^2 * (r)^2

= 0.16 * r^2

Now, we can multiply the simplified expressions:

8t^–9 * 0.16r^2 = 1.28r^2 * t^–9

So, the simplified expression is 1.28r^2 * t^–9.