Question

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

Answer 1

When you're simplifying and the exponent is on the outside of the parentheses, you apply the exponent to everything in the parentheses.
So it's like saying
(2^3)(t^-3)^3 (0.4^2)(r^2)

And also when there's two exponents like (t^-3)^3, you multiply the exponents.
So we've got
(8)(t^-9)(0.16)(r^2)
1.28(t^-9)(r^2)

When simplifying exponents, they don't want a negative exponent, so you would flip it and the answer would look like:
\[\frac{ 1.28r ^{2} }{ t ^{9} }\]

Hope this helps!!