Answer: FIRST OPTION
Step-by-step explanation:
According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.
Therefore, keeping the property above on mind, you have that the quotient is the shown below:
Answer: x=63, y=52, z=48
Step-by-step explanation:
The complete question in english is:
The sum of 3 natural numbers is 163. By subtracting the third number from the sum of the first two numbers, we get 67. By subtracting the first number from the sum of the last 2 numbers, we get 37. Determine the 3 numbers
According to this we have a system with three equations and three unknown values:
(1)
(2)
(3)
Let's begin by isolating from (1):
(4)
And substitute (4) in (2):
(5)
Isolating :
(6) We have found the first number
Substituting (6) in (1):
(7)
Adding (7) to (3):
We have the following:
Isolating :
(8) This is the second number
Substituting (6) and (8) in (1):
(9)
Isolating :
(10) This is the third number