Answer:
![x^\frac{35}{6}](https://tex.z-dn.net/?f=x%5E%5Cfrac%7B35%7D%7B6%7D)
Step-by-step explanation:
The expression to transform is:
![(\sqrt[6]{x^5})^7](https://tex.z-dn.net/?f=%28%5Csqrt%5B6%5D%7Bx%5E5%7D%29%5E7)
Let's work first on the inside of the parenthesis.
Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:
![\sqrt[n]{a} = a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3D%20a%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Therefore ![\sqrt[6]{a} = a^{\frac{1}{6}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Ba%7D%20%3D%20a%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D)
Now let's replace
with
which is the algebraic form we are given inside the 6th root:
![\sqrt[6]{x^5} = (x^5)^{\frac{1}{6}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E5%7D%20%3D%20%28x%5E5%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D)
Now use the property that tells us how to proceed when we have "exponent of an exponent":
![(a^n)^m= a^{n*m}](https://tex.z-dn.net/?f=%28a%5En%29%5Em%3D%20a%5E%7Bn%2Am%7D)
Therefore we get: ![(x^5)^{\frac{1}{6}}=x^{\frac{5}{6}}}](https://tex.z-dn.net/?f=%28x%5E5%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3Dx%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%7D)
Finally remember that this expression was raised to the power 7, therefore:
[/tex]
An use again the property for the exponent of a exponent:
21.6 miles per gallon
Multiplied by 6.2 gallons
21.6 * 6.2 = 133.92
Cheryl can travel 133.92 (or about 134) miles on 6.2 gal. of gas.
Hope that helped!
Answer:
x= -4
Step-by-step explanation:
hope it's helpful to you
Helloooo each day she picked 13 tomatoes
4(n)=52
That’s what I put as equation and they want to know how many tomatoes she picked each day which we don’t know so we use it as a n and we know the total 53 so we made equation like this then I divided 53 by 4 and put 13 in n and did the solving and got the same answer
Answer:
the anwser is 9
Step-by-step explanation: