Answer:

Step-by-step explanation:
Given

Required
Simplify
Rewrite as:

Take LCM

Apply law of indices

Answer:
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Step-by-step explanation:
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D
Absolute Value of a number is the positive of whatever to total value is. For example |-12| = 12, and |32| = 32
Answer:
C
Step-by-step explanation:
Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.
We can get this by subtracting the fractions of the first two phases from 1.
This goes as follows:
1 - (1/5) - (2/3) = 2/15
Now, we know that the final 8 kilometers constitute a fraction of just 2/5
Hence, we know that 2/15 of the total journey is 8 kilometers.
Let the total journey distance be T. This means that 2/15 of T is 8km
2/15 * T = 8km
T = ( 8 * 15 )/2 = 120/2 = 60km