Answer:
![\sqrt[7]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D)

![(\sqrt[7]{x})^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D)
Step-by-step explanation:
we have

Remember the properties
![\sqrt[n]{a^{m}}=a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)

so
<u><em>Verify each case</em></u>
Part 1) we have
![\sqrt[4]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D)
we know that
![\sqrt[4]{x^{7}}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression

Part 2) we have
![\sqrt[7]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D)
we know that
![\sqrt[7]{x^{4}}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression

therefore
Is equivalent to the given expression
Part 3) we have

we know that

Compare with the given expression

therefore
Is equivalent to the given expression
Part 4) we have
we know that

Compare with the given expression

Part 5) we have
![(\sqrt[4]{x})^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D)
we know that
![(\sqrt[4]{x})^{7}=(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5E%7B7%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression

Part 6) we have
![(\sqrt[7]{x})^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D)
we know that
![(\sqrt[7]{x})^{4}=(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%29%5E%7B4%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression

therefore
Is equivalent to the given expression
Answer: B
Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.
A "solution" to this pair of equations is a pair of numbers, for 'a' and 'b',
that make the equations true statements.
I can tell you right now that this system of equations has no solution.
Here, let me show you why:
<span> 4a = 4 - b
4a = 5 - b
Subtract the bottom equation from the top one:
0 = -1
Can you think of any numbers for 'a' and 'b' that could
make 0 equal to -1 ?
I can't either.
There are no numbers for 'a' and 'b' that can make both equations true
statements. That's just another way to say that the system of equations
has no solution.</span>