Answer:
![\sqrt[n]{a} =a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Explanation:
Roots of real numbers can be represented by <em>radicals</em> or by<em> exponents. </em>
First, I present some examples to show how exponents and radicals are related, and then generalize.
![\sqrt[3]{8}=(8)^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}=(2)^{\frac{3}{3}}=2^1=2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D%3D%288%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%282%5E3%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%282%29%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D2%5E1%3D2)
When you write 5² = 25, then 5 is the square root of 25.
And in general, if n is a positive integer and 
, then 
is the nth root of x.
Also, if n even (and positive) and is positive, then 
is the positive nth root of
Thus,
Answer:
30f + 20
Step-by-step explanation:
A square has four sides, all of equal length. If we call that side length x, then the perimeter - the total length around the square - is 4x. To find the side length given the perimeter then, we can simply divide the perimeter by 4.
Our perimeter here is 120f + 80, and dividing each term by 4 gives us a side length of 30f + 20.
positive numbers are to the right or up, negative numbers are to the left or down.
So this means 1 unit left and 7 units up.
Answer:
1r + 8(400) = 3(r+400)
1r + 320 = 3r + 120
2r = 200
r = 200 / 2 = 1000
1400 * 3 = 420
100 + 320 = 420
Step-by-step explanation:
