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:
Option A. 
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
we have
Convert feet to inches first
Remember that
so
substitute in the formula
Answer:
0.207
Step-by-step explanation: MARK ME BRAINless
Answer:
Standard errors are 0.049, 0.035, 0.022, and 0.016.
Step-by-step explanation:
The given value of population proportion (P) = 0.56
Given sample sizes (n ) 100, 200, 500, and 1000.
Now standard error is required to calculate.
Use the below formula to find standard error.
When sample size is n = 100
When sample size is n = 200
When sample size is n = 500
When sample size is n = 1000
Circumference of a circle = 2 × π × r
And Diameter = 2 r
Therefore using the formula!
Circumference of the circle with diameter 20 foot :
2 × π × 10 = 20 π foot
Circumference of the circle with diameter 5 foot :
2 × π × 2.5 = 5 π foot
Difference between the sand paintings' diameter = 20 π - 5 π = 15 π foot
