The <em>algebraic</em> expression 
is equivalent to the <em>algebraic</em> expression ![x^{3}\cdot \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B3%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D)
. Thus, the right choice is option D.
<h3>How to apply power and root properties to rewrite a given expression</h3>
In this question we must apply the following set of <em>algebraic</em> properties to simplify a given expression:
![x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}](https://tex.z-dn.net/?f=x%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7Bx%7D%5Cright%29%5E%7Bm%7D)
(1)
(2)
(3)
Where:
- <em>m</em>, <em>n</em> - Exponents
- <em>x</em> - Base
And also by apply the definition of power.
If we know that the given expression is , then the equivalent expression is:
![x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B10%2F3%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%5Ccdot%20x%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B3%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D)
The <em>algebraic</em> expression is equivalent to the <em>algebraic</em> expression . Thus, the right choice is option D.
To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773
Answer: If you wanting to find the slope, the answer would be m = -10/3
Step-by-step explanation: Use the slope formula to find the slope m.
Hope this helps you out! ☺
Answer:
A≈414.69
Step-by-step explanation:
Answer: the answer is 3
Step-by-step explanation: The gradient (or slope) of the tangent to a curve at any particular point is given by the derivative at that point If y = x 3 then d y d x = 3 x 2 When x = 1 ⇒ d y d x = 3 So the slope equals 3
