Answer:
can be written in power notation as ![a^{4}\times 13^{2}](https://tex.z-dn.net/?f=a%5E%7B4%7D%5Ctimes%2013%5E%7B2%7D)
Step-by-step explanation:
The given expression
![a\times (-a)\times 13\times a\times (-a)\times 13](https://tex.z-dn.net/?f=a%5Ctimes%20%28-a%29%5Ctimes%2013%5Ctimes%20a%5Ctimes%20%28-a%29%5Ctimes%2013)
Writing a\times (-a)\times 13\times a\times (-a)\times 13 in power notation:
Let
![a\times (-a)\times 13\times a\times (-a)\times 13](https://tex.z-dn.net/?f=a%5Ctimes%20%28-a%29%5Ctimes%2013%5Ctimes%20a%5Ctimes%20%28-a%29%5Ctimes%2013)
= ![[13\times13][(a\times (-a)\times a\times (-a)]](https://tex.z-dn.net/?f=%5B13%5Ctimes13%5D%5B%28a%5Ctimes%20%28-a%29%5Ctimes%20a%5Ctimes%20%28-a%29%5D)
As
,
,
So,
![=[13^{2}][a^2\times (-a)^2]](https://tex.z-dn.net/?f=%3D%5B13%5E%7B2%7D%5D%5Ba%5E2%5Ctimes%20%28-a%29%5E2%5D)
As
![(-a)^2 = a^{2}](https://tex.z-dn.net/?f=%28-a%29%5E2%20%3D%20a%5E%7B2%7D)
So,
![=[13^{2}][a^2\times a^2]](https://tex.z-dn.net/?f=%3D%5B13%5E%7B2%7D%5D%5Ba%5E2%5Ctimes%20a%5E2%5D)
As ∵![a^{m} \times a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%20%5Ctimes%20a%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
![=[13^{2}][a^{2+2}]](https://tex.z-dn.net/?f=%3D%5B13%5E%7B2%7D%5D%5Ba%5E%7B2%2B2%7D%5D)
As ∵![a^{m} \times a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%20%5Ctimes%20a%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
![=13^{2}\times a^{4}](https://tex.z-dn.net/?f=%3D13%5E%7B2%7D%5Ctimes%20a%5E%7B4%7D)
![=a^{4}\times 13^{2}](https://tex.z-dn.net/?f=%3Da%5E%7B4%7D%5Ctimes%2013%5E%7B2%7D)
Therefore,
can be written in power notation as ![a^{4}\times 13^{2}](https://tex.z-dn.net/?f=a%5E%7B4%7D%5Ctimes%2013%5E%7B2%7D)
<em>Keywords: power notation</em>
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It's a right triangle as it has the 90 degree corner and 3 different lengths
Answer:
see below
Step-by-step explanation:
y = 5x - 31
y = mx + b
where m = slope
slope of a parallel line = 5
slope of a perpendicular line = - 1/5
What are you even asking us
The total pounds of shrimp they catch is 9.625 pounds
<h3>Sum of values and decimals</h3>
Decimal number are numbers that has decimal points. Given the following information;
The total shrimp Spencer catch = 2 pounds
The total shrimp Jaclyn catch = 3.25 pounds
The total shrimp Ayden catch = 4.375 pounds
Determine the total pounds of shrimp they catch
Total shrimp = 2 + 3.25 + 4.375
Total shrimp = 9.625 pounds
Hence the total pounds of shrimp they catch is 9.625 pounds
Learn more on sum of decimals here; brainly.com/question/1827193
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