Multiply:

(-3t)^2(2t^6)^3

(-3t)^2(2t^6)^3

= 9t^2(8t^18)
= 72t^20

Thanks...

To multiply the given expression (-3t)^2(2t^6)^3, we need to apply the rules of exponents.

Step 1: Simplify each exponent expression inside the parentheses.
-3t squared can be written as (-3)^2 * t^2, which equals 9t^2.
2t^6 cubed can be written as (2^3) * (t^6)^3, which equals 8t^18.

Step 2: Multiply the simplified expressions.
Multiplying 9t^2 and 8t^18 gives 9 * 8 = 72, and t^2 * t^18 = t^(2 + 18) = t^20.

Putting it all together, the result is 72t^20.