Answer:
Problem 1) 5/9
Problem 2) 47/144
Problem 3) 10
Problem 4) 16
Explanation:
Problem #1:
lets start with the parentheses.
We need to open parentheses. We will use the distributive property.
1/4*1 = 1/4
1/4 * 2/3 = 1/6
now, we have 1/4 - 1/6^2 + 1/3 as our expression
Next, we deal with exponents 1/6^2 = 1/6 * 1/6 = 1/36
Our new equation is 1/4 - 1/36 + 1/3
Pretty simple from here
1/4 - 1/36 = 9/36 - 1/36 = 8/36
8/36 + 1/3 = 2/9 + 3/9 = 5/9
Problem #2:
This one is simpler than the last one.
Again, we have to start with parentheses.
1/3*1= 1/3
1/3 * 1/4 = 1/12
new equation is 1/3 - 1/12^2
exponents next.
1/12*1/12 = 1/144
1/3-1/144 = 48/144 - 1 144 = 47/144
Problem #3:
This one is even simpler.
As usual, open parentheses first.
-4*3=-12
-4*-1=4
Now, we have -4+12+2
-4+12=8
8+2 = 10
Problem #4:
This one is the simplest of all.
There are no parentheses, so we go to exponents.
4*4 = 16
new equation is 4 - 16 / 4 + 16
Next, we do division
16 / 4 = 4
new equation is 4 - 4 + 16
4 -4 = 0
0 + 16 = 16