Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
Answer: C
Step-by-step explanation:
Your answer is c
hope this helps
Answer:
119
Step-by-step explanation:
I believe you meant the question to be "
+ 1 /
, if m - 1 / m = 3. "
I presume that we want to take this second equation at hand here, and " simplify " it further. After doing so this first expression will have a value with respect to the simplified value of the equation, and, plugging in it's value we can solve for the expression (
+ 1 /
. )
m - 1 / m = 3 - Take each value squared on either side of the equation,
- Simplify,
If you don't know how to expand expressions such as the one in the third step, "
" here is a quick recap. Remember that
. Therefore,
![( m - 1 / m )^2 = m^2 - 2( m )( 1 / m ) + ( 1 / m )^2,\\( m - 1 / m )^2 = m^2 - 2 + 1 / m^2](https://tex.z-dn.net/?f=%28%20m%20-%201%20%2F%20m%20%29%5E2%20%3D%20m%5E2%20-%202%28%20m%20%29%28%201%20%2F%20m%20%29%20%2B%20%28%201%20%2F%20m%20%29%5E2%2C%5C%5C%28%20m%20-%201%20%2F%20m%20%29%5E2%20%3D%20m%5E2%20-%202%20%2B%201%20%2F%20m%5E2)
Now let's continue,
- Add 2 on either side,
![m^2 + 1 / m^2 = 11](https://tex.z-dn.net/?f=m%5E2%20%2B%201%20%2F%20m%5E2%20%3D%2011)
_______________
So now we have the " simplified equation " as you can say, for the equation. Let's " simplify " the expression now,
- Substitute the value of 11,
![m^4+1/m^4 = 75+4(11),\\m^4 + 1 / m^4 = 119](https://tex.z-dn.net/?f=m%5E4%2B1%2Fm%5E4%20%3D%2075%2B4%2811%29%2C%5C%5Cm%5E4%20%2B%201%20%2F%20m%5E4%20%3D%20119)
Solution = 119
Answer:
I got 6 and 28/99
Step-by-step explanation:
I put it in a calculator about 10 times and this was the answer every time, sorry if it wasn't helpful