Answer:
It is the second answer.
Step-by-step explanation:
When numbers with the same base are multiplied, you add the bases.
1/2 + 3/4 is the same as
2/4 + 3/4 = 5/4
So now we have 2 ^5/4^2. When we have a power raised to a power. We multiply the powers.
5/4(2)
(5/4(2/1) = 10/4 = 5/2. The second answer is the same way to describe
2^(5/2)
Given that the dealer sells a dozen tires for $240, every 3-tire set costs $60. There are six 2-tire sets in a dozen. Thus, his total revenue should be $360. The total profit is the difference between the total revenue and the total cost. The answer is therefore, the first choice, $120.
Answer:

Step-by-step explanation:

Using rule of exponents 

Using rule of exponents 


To equalize the negative sign, we'll move t to the denominator

A integer for -4 would be +4
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2