Question

(5t^3)^-4

1. 625/t^12
2. 20/t^7
3. 1/625t^12
4. 1/20t^7

Answer 1

Answer:

$\large\boxed{3.\ \dfrac{1}{625t^{12}}}$

Step-by-step explanation:

$\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\---------------\\\\(5t^3)^{-4}=\dfrac{1}{(5t^3)^4}=\dfrac{1}{5^4(t^3)^4}=\dfrac{1}{625t^{(3)(4)}}=\dfrac{1}{625t^{12}}$