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 = 

Answer:
1 11/15
Step-by-step explanation:
Answer:
a = 160
Step-by-step explanation:
a + 46 = -114
a + 46 - 46 = -114 - 46
a = 160
Answer: The answer is 13 ponds of each type should be used.
Step-by-step explanation: Given that the coffee counter charges $11.00 per pound for kenyan french roast coffee and $13.00 per pound for sumatra coffee. We are to find the quantity of each type that should be used to make a 26 pound blend that sells for $12.00 per pound.
Let 'x' pound and 'y' pound of kenyan french roast coffee and sumatra coffee be used in the mixture of 26 pound.
So, we have

Multiplying equation (A) by 11 and subtracting from equation (B), we have

and from equation (A),

Thus, 13 pounds of each type of coffee should be used.
Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.
Have a Merry Christmas!