Answer:
X' = (2, -3)
Y' = (7, -9)
Z' = (10, -2)
Step-by-step explanation:
to find the translation of each point substitute the x and y with the the numbers
eg; X ( -5,2) the x is 5 and the y is 2
so -5 + 7 = 2 (the x value)
2 - 5 = -3 ( the y value)
To solve the problem we must know the basic exponential properties.
<h3>What are the basic exponent properties?</h3>
![{a^m} \cdot {a^n} = a^{(m+n)}](https://tex.z-dn.net/?f=%7Ba%5Em%7D%20%5Ccdot%20%7Ba%5En%7D%20%3D%20a%5E%7B%28m%2Bn%29%7D)
![\dfrac{a^m}{a^n} = a^{(m-n)}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%20%3D%20a%5E%7B%28m-n%29%7D)
![\sqrt[m]{a^n} = a^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D%20%3D%20a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D)
![(a^m)^n = a^{m\times n}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%20%3D%20a%5E%7Bm%5Ctimes%20n%7D)
![(m\times n)^a = m^a\times n^a](https://tex.z-dn.net/?f=%28m%5Ctimes%20n%29%5Ea%20%3D%20m%5Ea%5Ctimes%20n%5Ea)
The expression can be written as
.
Given to us
![(x^{27}y)^\frac{1}{3}](https://tex.z-dn.net/?f=%28x%5E%7B27%7Dy%29%5E%5Cfrac%7B1%7D%7B3%7D)
Using the exponential property
,
![=(x^{27}y)^\frac{1}{3}\\\\=x^{\frac{27}{3}}\times y^\frac{1}{3}\\\\=x^9\times y^\frac{1}{3}](https://tex.z-dn.net/?f=%3D%28x%5E%7B27%7Dy%29%5E%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3Dx%5E%7B%5Cfrac%7B27%7D%7B3%7D%7D%5Ctimes%20y%5E%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3Dx%5E9%5Ctimes%20y%5E%5Cfrac%7B1%7D%7B3%7D)
Using the exponential property
,
![=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}](https://tex.z-dn.net/?f=%3Dx%5E9%5Ctimes%20y%5E%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3Dx%5E9%5Ctimes%20%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C%3Dx%5E9%20%5Csqrt%5B3%5D%7By%7D)
Hence, the expression can be written as
.
Learn more about Exponent properties:
brainly.com/question/1807508
Answer:
144
Step-by-step explanation:
Answer: the only way to help you is to send a picture of your problem