Question

(5t^3)^-4

the answers are in the image​

Answer 1

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

Explanation:

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

Answer 2

= 1 / 625t^12

Third option is the answer

Explanation:

(5t^3)^-4

= 1 / ((5t^3)^4

= 1 / 625t^12