Answer:
The last choice
Step-by-step explanation:
Answer:
If we call our unknown value x, then we can say that
The "product of 4 and a number" is 4x
The "difference between" 4x and 6 is 4x - 6
Step-by-step explanation:
We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:

We can set this equal to 0 and factor by using the quadratic formula which is:

So, let's do just that:

Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:


So, we can write this as:

Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!
Rational exponents

work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.
In other words, we have
![a^\frac{m}{n}=\sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%5Em%7D)
So, in you case, we have
![\sqrt[5]{x^3}=x^\frac{3}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D%3Dx%5E%5Cfrac%7B3%7D%7B5%7D)
Assuming that the question contanis a typo. If you actually mean
,
then you can write it as 