Answer:
![1. \quad\dfrac{1}{k^{\frac{2}{3}}}\\\\2. \quad\sqrt[7]{x^5}\\\\3. \quad\dfrac{1}{\sqrt[5]{y^2}}](https://tex.z-dn.net/?f=1.%20%5Cquad%5Cdfrac%7B1%7D%7Bk%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%5C%5C%5C%5C2.%20%5Cquad%5Csqrt%5B7%5D%7Bx%5E5%7D%5C%5C%5C%5C3.%20%5Cquad%5Cdfrac%7B1%7D%7B%5Csqrt%5B5%5D%7By%5E2%7D%7D)
Step-by-step explanation:
The applicable rule is ...
![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D)
It works both ways, going from radicals to frational exponents and vice versa.
The particular power or root involved can be in either the numerator or the denominator. The transformation applies to the portion of the expression that is the power or root.
Answer:
21+3t
If really want equation answer it would be -7 but it simplifying. :)
Step-by-step explanation:
6(4+t)-3(t+1)
Simplify parenthesis first.
24+6t-3t-3
Simplify like terms
24-3+6t-3t
21+3t
Answer:
Triangles a, b, and d
Step-by-step explanation:
The three triangles have a side length measurement, an angle measure, then another side length measurement
in that order (the order matters)
Answer:
4 apples/ second
28800 apples in 2 hours
Step-by-step explanation:
20 apples / 5 seconds
Divide the top and bottom by 5
4 apples/ second
A few hours is 2 or 3
There are 3600 seconds in 1 hour
4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour
14400 apples/ hour
14400apples / hour * 2 hours
28800 apples in 2 hours