One example would be x to the power of 1/3
which we would write as x^(1/3) for shorthand
It converts to "cube root of x".
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The general rule is
![x^{1/n} = \sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%7D)
if the font is too small, then the formula reads x^(1/n) is equal to square root x, with a small little n just above and to the left of the square root. This is known as the nth root of x.
Based on that general formula, we can say something like
![x^{1/4} = \sqrt[4]{x}](https://tex.z-dn.net/?f=x%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7Bx%7D)
(x to the 1/4th power is equal to fourth root of x)
note: you can replace x with any algebraic expression you want
Answer:
1. D) 1 9/20
2. B) 7/12
4. D) $50.00
Step-by-step explanation:
The working is as follows :
1. Mrs. Lang bought 3/4 pound of red grapes and 7/10 pound of green grapes. To find out how many are in total we have to add both values total.
3/4 + 7/10
The LCM of 4 and 10 is 20.
3/4 * 5 = 15/20
7/10 * 2 = 14/20
15/20 + 14/20 = 29/20 = 1 9/20
2. 1/3 + 1/4
The LCM of 3 and 4 is 12
1/3 * 4 = 4/12
1/4 * 3 = 3/12
4/12 + 3/12 = 7/12
4. Sharon spent 2/3 of her clothing allowance; she was given $75. All we have to do is find 2/3 of $25 :
2/3 * $75 = $50.00
D is the correct equation for this problem.