Given:

The expression can be used to express powers and roots together.
Here, we can rewrite this as:
![x^{\frac{m}{n}}=\sqrt[n]{x^m}\text{ = (}\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%5Ctext%7B%20%3D%20%28%7D%5Csqrt%5Bn%5D%7Bx%7D%29%5Em)
Here, m is the power while n is the root.
Therefore, m represents the power to which x is raised while n represents the root that is being taken.
ANSWER:
Power; Root
Answer:
option 3)
14% approx
Step-by-step explanation:
Given data
Initial= $18.00
final =$20.50
% increase= final - initial/initia *100
% increase= 20.50-18.0/18*100
% increase=2.5/18*100
% increase=0.138*100
% increase=13.8%
Hence the increase is 13.8%
=14% approx
Answer:
There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent
Answer:
simplify the expression: 6x+5y
Step-by-step explanation:
Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

Using the section formula expressed as
![[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
In this case,

where

Thus, by substitution, we have
![\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5B%5Cfrac%7B1%282%29%2B2%28-7%29%7D%7B1%2B2%7D%2C%5Cfrac%7B1%284%29%2B2%28-2%29%7D%7B1%2B2%7D%5D%20%5C%5C%20%5CRightarrow%5B%5Cfrac%7B2-14%7D%7B3%7D%2C%5Cfrac%7B4-4%7D%7B3%7D%5D%20%5C%5C%20%3D%5B-4%2C%5Ctext%7B%200%5Crbrack%7D%20%5Cend%7Bgathered%7D)
Hence, the y-coordinate of the point P is