What is 9656789x98765 u will get 29 points from this
2 answers:
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The main rule to apply here is:
(i)![\displaystyle{ a^ {\displaystyle{ (\frac{b}{c})} }= \displaystyle{ \sqrt[c]{a^b}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20a%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7Bb%7D%7Bc%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5Bc%5D%7Ba%5Eb%7D%20)
(ii)If c=2, then we write the following
.
According to these rules:
![\displaystyle{ 5^ {\displaystyle{ (\frac{2}{3})} }= \displaystyle{ \sqrt[3]{5^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%205%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7B2%7D%7B3%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5B3%5D%7B5%5E2%7D%20)
.
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![\displaystyle{ 3^ {\displaystyle{ (\frac{2}{5})} }= \displaystyle{ \sqrt[5]{3^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%203%5E%20%7B%5Cdisplaystyle%7B%20%28%5Cfrac%7B2%7D%7B5%7D%29%7D%20%7D%3D%20%5Cdisplaystyle%7B%20%5Csqrt%5B5%5D%7B3%5E2%7D%20)
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(i)
(ii)If c=2, then we write the following
According to these rules:
As the mapping suggests, the first (x) coordinate is decreased by 3, and the second (y) coordinate is increased by 2. So, given the inputs, you have
And yes, this rule is a function: it has a starting set (the domain), which is all possible couples , and a landing set (the codomain), which is again composed by the couples
. Since for every point in the domain you have one and only one output, this rule is a function.