Recall that one of the rules of exponents states that
![x^{ \frac{m}{n} }= \left(\sqrt[n]{x} \right)^m](https://tex.z-dn.net/?f=x%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%20%7D%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7Bx%7D%20%5Cright%29%5Em)
Now, let x be a negative number and n, an even number, then
![(-x)^{ \frac{m}{n} }= \left(\sqrt[n]{(-x)} \right)^m](https://tex.z-dn.net/?f=%28-x%29%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%20%7D%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7B%28-x%29%7D%20%5Cright%29%5Em)
But the even root of a negative number is not a real number.
for example,
is not a real number, rather a complex number.
Hence, <span>rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is negative.</span>
Answer:
D. 192
Step-by-step explanation:
This problem involves a few steps. First, you need to determine how many eighth graders you have given that 112 represent 70% of the total number of eighth graders. You can solve this using a proportion:
Cross-multiply and divide: 70x = 11200 or 70x/70 = 11200/70 or x = 160
Since there are 160 total eighth graders and this is 
of the amount of seventh graders, we can set up an equation to solve for the total amount of seventh graders:
160 = x
Multiply by the reciprocal of your fraction on both sides:
x 160 = x ()
Solve for x: x = 192 seventh graders
Hello!
So out of the 950 students at Sunnydale Elementary, 285 wore the school colors. First off, let's divide the number of students that wore the school colors by the number of total students. 285/950 is 0.3. To convert that into a percentage, multiply the decimal by 100. 0.3 * 100 is 30. There. 30% of Sunnydale Elementary students wore the school colors.
Answer:
There is only one number from 21-25
Answer:
The correct answer is D) (-2, -1)
Step-by-step explanation:
In order to solve this system of equations, start by multiplying the entire first equation by 2. Then add the two equations together. This will get the y's to cancel and allow you to solve for x.
-4x + 2y = -10
3x - 2y = 12
---------------------
-x = 2
x = -2
Now that we have the value for x, we can find y by plugging the x value into either equation.
-2x + y = -5
-2(2) + y = -5
-4 + y = -5
y = -1
