(5t^3) ^ -4

Answer 1

To simplify (5t^3)^-4, we can first rewrite it as 1/(5t^3)^4.

Then, we can apply the power rule for exponents, which states that (a^m)^n = a^(m*n).

In this case, we have 1/(5t^3)^4 = 1/(5^4 * (t^3)^4) = 1/(5^4 * t^12).

As a result, (5t^3)^-4 simplifies to 1/(5^4 * t^12).