Question

Help please simplify this or these 4

Answer 1

Answer:

Problem 1) 5/9

Problem 2) 47/144

Problem 3) 10

Problem 4) 16

Step-by-step 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