Which expression can be simplified as 625/n^12 check all that apply

Only options, A and E give 625/n¹² on simplification. The other options do not apply.

(5n⁻³) ⁴ = (625/n¹²)

(25n⁻⁶) ² = (625/n¹²)

Step-by-step explanation:

625/n¹²

a) (5n⁻³) ⁴

According to the law of indices, this becomes

(5⁴) (n⁻³) ⁴ = 625 (n⁻¹²) = 625/n¹²

This applies!

b) (5n⁻³) ⁻⁴

According to the law of indices, this becomes

(5⁻⁴) (n⁻³) ⁻⁴ = (n¹²) / 625 = n¹²/625

Does Not apply!

c) (5n⁻⁴) ³

This becomes

(5³) (n⁻⁴) ³ = 125n⁻¹² = 125/n¹²

Does Not apply!

d) (25n⁻⁶) ⁻²

This becomes

(25⁻²) (n⁻⁶) ⁻² = n⁻¹²/625 = 1 / (625n¹²)

Does Not apply!

e) (25n⁻⁶) ²

This becomes

(25²) (n⁻⁶) ² = 625n⁻¹² = 625/n¹²

This applies!