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!

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%