Use quotient rule and simplifyshow work ! 1. 4s^3t^-4/8s^6t^84. 7a^-3b^9/2a^2b^-5

1) 4 s^(-3) t^(-4) / (8 s^6 t^8) = s^(-9) t^(-12) / 2

2) 7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^14 / 2

Step-by-step explanation:

1) 4 s^(-3) t^(-4) / (8 s^6 t^8)

Dividind the numerator and denominator by 4:

[4 s^(-3) t^(-4)]/4 / (8 s^6 t^8)/4 = s^(-3) t^(-4) / (2 s^6 t^8)

Using quotient rule: a^m/a^n=a^(m-n):

s^(-3) t^(-4) / (2 s^6 t^8) = s^(-3-6) t^(-4-8) / 2 = s^(-9) t^(-12) / 2

2) 7 a^(-3) b^9 / [2 a^2 b^(-5)]

Using quotient rule: a^m/a^n=a^(m-n):

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-3-2) b^(9-(-5)) / 2

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^(9+5) / 2

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^14 / 2

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

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%