Answer:


Step-by-step explanation:
The law of indices can be used to simplify mathematical expressions involving arithmetical operation on variables with powers.
x
= 
Thus, the given expression can be simplified as follows:
a³b² a²b = a³ x a² x b² x 
=
x 
= 

Thus,
a³b² a²b = 

B
You would divide 45 mm/15mm to get 3. Multiply 3 by 27 to get 81 mm.
Answer: 23 degrees
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Explanation:
Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC
Angle ABC is given to be 46 degrees, the formula we use is shown below
central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees
How to solve this: (in case you need it)
4n-18=52
4n-18+18=52+18
4n=70
4n/4=70/4
n=35/2
Use the equation 28/.70 and you should get your answer