A and b are positive integers and a–b = 3. Evaluate the following:
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a) (9^(0.5b))/3a
b) (27^(1/3b)) /(9^(0.5b))
c) ( 125^(1/3a))/(25^(1/2b))

a) 1/27

b) 1

c) 125

Step-by-step explanation:

a) (9^(0.5b))/(3^a)

(3²)^(0.5b) ÷ (3^a)

(3^b) ÷ (3^a)

3^(b - a)

a - b = 3

b - a = -3

3^(-3)

1/27

b) (27^(1/3b)) /(9^(0.5b))

(3³)^(b/3) ÷ (3²)^(0.5b)

(3^b) ÷ (3^b)

1

c) ( 125^(1/3a))/(25^(1/2b))

(5³)^(a/3) ÷ (5²)^(b/2)

5^a ÷ 5^b

5^(a - b)

5³

125

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.