Answer:
5/4k^2
Step-by-step explanation:
P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.
We will be using the following property of exponents:
\dfrac{a^x}{a^y}=a^{x-y}.
We have
P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.
Thus, the required product is \dfrac{5}{4k^2}.
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Answer:
197.92
Step-by-step explanation:
pretty simple not hard bub
Answer: The difference cannot be found because the indices of the radicals are not the same.
Step-by-step explanation:
To find the difference you need to subtract the radicals. But it is important ot remember the following: To make the subtraction of radicals, the indices and the radicand must be the same.
In this case you have these radicals:
![\sqrt[ {8ab}^{3} ]{{ac}^{2} }- \sqrt[ {14ab}^{3}]{{ac}^{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B%20%7B8ab%7D%5E%7B3%7D%20%5D%7B%7Bac%7D%5E%7B2%7D%20%7D-%20%5Csqrt%5B%20%7B14ab%7D%5E%7B3%7D%5D%7B%7Bac%7D%5E%7B2%7D%20%7D)
You can observe that the radicands are the same, but their indices are not the same.
Therefore, since the indices are different you cannot subtract these radicals.
Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
<em />
We have

Substitute:

Answer:
17:7
Step-by-step explanation:
Both are even numbers, so both can be divided by two. Once divided by two, they are prime and can no longer be simplified.