To solve the problem we must know the Basic Rules of Exponentiation.
<h2>Basic Rules of Exponentiation</h2>
The solution of the expression is
.
<h2>Explanation</h2>
Given to us
Solution
We know that 16 can be reduced to
,
![=(2^4x^8y^{12})^{\frac{1}{2}}](https://tex.z-dn.net/?f=%3D%282%5E4x%5E8y%5E%7B12%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Using identity
,
![=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}](https://tex.z-dn.net/?f=%3D%282%5E4%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%28x%5E8%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%28y%5E%7B12%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Using identity
,
Solving further
![=2^2x^4y^{-6}](https://tex.z-dn.net/?f=%3D2%5E2x%5E4y%5E%7B-6%7D)
Using identity
,
![=\dfrac{2^2x^4}{y^6}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2%5E2x%5E4%7D%7By%5E6%7D)
![=\dfrac{4x^4}{y^6}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B4x%5E4%7D%7By%5E6%7D)
Hence, the solution of the expression is
.
Learn more about Exponentiation:
brainly.com/question/2193820
Answer:
54 passes
Step-by-step explanation:
90 x 0.6 = 54
Answer and Step-by-step explanation:
The answer is that <u>A'C' will be 1.5 times longer than AC.</u>
<u></u>
This is because you are dilating the figure by a scale of 1.5.
<em><u>#teamtrese #PAW (Plant and Water)</u></em>
The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept → (0, b)
We have the point (0, 5). Therefore b = 5.
We have: y = mx + 5
Other point (3, 2). Substitute the coordinates of the point to the equation of the line:
<em>subtract 5 from both sides</em>
<em>divide both sides by 3</em>
![-1=m\to m=-1](https://tex.z-dn.net/?f=-1%3Dm%5Cto%20m%3D-1)
<h3>Answer: f(x) = -1x + 5 = -x + 5</h3>