Nice job inputting the expression.
The cube root is a 1/3 power. The 4 in the denominator is a -4 power in the numerator. When we have powers of powers we multiply them all together. When we have a product to a power we have to raise each factor to the power.
We get to choose whether we want a fraction at the end or negative exponents. Because of the constant 16 in the denominator I chose fraction.
![\dfrac{1}{( \sqrt[3]{8p^6})^4} = ( \sqrt[3]{8p^6})^{-4} = ( (8p^6)^{\frac 1 3})^{-4} =(8^{\frac 1 3})^{-4} p^{(6(-4)/3)} = 2^{-4} p^{-8} = \dfrac{1}{16p^8}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%28%20%5Csqrt%5B3%5D%7B8p%5E6%7D%29%5E4%7D%20%3D%20%28%20%5Csqrt%5B3%5D%7B8p%5E6%7D%29%5E%7B-4%7D%20%3D%20%28%20%288p%5E6%29%5E%7B%5Cfrac%201%203%7D%29%5E%7B-4%7D%20%3D%288%5E%7B%5Cfrac%201%203%7D%29%5E%7B-4%7D%20p%5E%7B%286%28-4%29%2F3%29%7D%20%3D%202%5E%7B-4%7D%20p%5E%7B-8%7D%20%3D%20%5Cdfrac%7B1%7D%7B16p%5E8%7D)
Answer: 1/(16p⁸)
Answer:
the critical value for 0.87 level of confidence is 1.51
Step-by-step explanation:
Given the data in the question;
level of confidence = 0.87
now,
1 - c = 0.87
c = 1 - 0.87
c = 0.13
c/2 = 0.13/2 = 0.065
now
1 - c/2 = 1 - 0.065 = 0.935
so our level of significance ∝ = 0.935
Now, the critical value will be;
is obtained as follows;
P( Z < z ) = 0.935
so we find the value from ( standard normal distribution table )
P( Z < 1.51 ) = 0.935
Therefore, the critical value for 0.87 level of confidence is 1.51
Answer:
I just answed this question today!Your asnwer is 144.
Step-by-step explanation:
1:5:3
48 total.
Divide 48 and get 16
<u>Multiply 16 x1</u>
<u>Multiply 16 x5</u>
<u>Multiply 16x 3</u>
<u>16:80:48</u>
The identified for the construction is the endpoint of rays BA and BC option (C) is correct.
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Angle ABC has point E on ray BA and point D on ray BC.
Points E and D are equidistant from point B.
The ED distance because if the distance between E and D is even slightly different, the entire angle ABC will vary.
Thus, the identified for the construction is the endpoint of rays BA and BC option (C) is correct.
Learn more about the angle here:
brainly.com/question/7116550
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