The simplified value of the exponential expression is 2.
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How to get the simplified expression?</h3>
Here we need to simplify the expression:
First, you need to remember that:
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
Then we can just write:
![16^{1/4} = \sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B16%7D)
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
![2^4 = 16\\\\\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=2%5E4%20%3D%2016%5C%5C%5C%5C%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
brainly.com/question/11464095
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Answer:
Triangles QUT and SVR are congruent because the defining two sides and an included angle of triangles QUT and SVR are equal
Step-by-step explanation:
Here we have QT = SR and
QV = SU
Therefore,
QT = √(UT² + QU²)........(1)
RS = √(VS² + RV²)..........(2)
Since QS = QU + SU = QV + VS ∴ QU = VS
Therefore, since SR = QT and QU = VS, then from (1) and (2), we have UT = RV
Hence since we know all sides of the triangles QUT and SVR are equal and we know that the angle in between two congruent sides of the the triangles QUT and SVR that is the angle in between sides QU and UT for triangle QUT and the angle in between the sides RV and VS in triangle SVR are both equal to 90°, therefore triangles QUT and SVR are congruent.
Answer:
y = 1/4 x - 1/2
Step-by-step explanation:
Remark
The general equation for a line is y = mx + b
You know that m = 1/4. The problem is what do you do about (2,0)?
Solution
y = 1/4 x + b Let x = 2 when y = 0
0 = 1/4 * 2 + b multiply 2 * 1/4
0 = 1/2 + b Subtract 1/2 from both sides
b = - 1/2
equation y = 1/4 x - 1/2
Graph
Answer:
i am pretty sure the answer is UT.
Step-by-step explanation:
this is because all the letters have linear connections to the other letter, all except UT do.
i hope this helps, tell me if this is wrong.
