Question

(5t^3)^-4

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

Answer 1

`\large\boxed{3.\ (1)/(625t^(12))}`

Explanation:

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