The simplest radical form of the expression is
.
<h3>What is the simplification of power indices?</h3>
When we have indices in the form
, we are going to find the cube root of the (ax)². This can be mathematically expressed as:
![\mathbf{=(\sqrt[3]{ax})^2 }](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7Bax%7D%29%5E2%20%7D)
From the given information:

![\mathbf{=(\sqrt[3]{8x^55y^3} } )^2](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7B8x%5E55y%5E3%7D%20%7D%20%29%5E2)
![\mathbf{=(\sqrt[3]{40x^5y^3} } )^2](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7B40x%5E5y%5E3%7D%20%7D%20%29%5E2)
![= (\sqrt[3]{40x^5} \times \sqrt[3]{y}^3)^2](https://tex.z-dn.net/?f=%3D%20%28%5Csqrt%5B3%5D%7B40x%5E5%7D%20%5Ctimes%20%20%5Csqrt%5B3%5D%7By%7D%5E3%29%5E2)


Learn more about indices here:
brainly.com/question/170984
#SPJ1
F incenter hope this helps
Answer:
5 x Square root:2
Step-by-step explanation:
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Answer:
Let's solve your equation step-by-step.
3 / 4 y = 9
Step 1: Multiply both sides by 4/3.
(4 / 3 ) * ( 3 / 4 y ) = ( 4 / 3 ) * ( 9 )
y = 12
Answer:
y = 12
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Insert 12 to the y value:
3 / 4 ( 12 ) = 9
9 = 9
True
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First solve for the trig function 'cot'

Next take the sqrt of both sides (include plus/minus)

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.