Question

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

Answer 1

Answer:

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!