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eduard
2 years ago
10

Simplify the expression. (128x^5/ 8x)1/4 Enter your answer in the box.

Mathematics
2 answers:
Pachacha [2.7K]2 years ago
7 0
To solve: 
Simplify 128x^5/8x first
16x^4

then divide by 1/4

16x^4•4/1=64x^4

Answer: 64x^4
katovenus [111]2 years ago
3 0

Answer:

2x^4 is the simplified expression

Step-by-step explanation:

We have been given an expression:

(\frac{128x^5}{8x})^\frac{1}{4}

First simplify the terms inside the parenthesis we divide 128 by 8 we get:

(16x^4)^\frac{1}{4}

16 can be written as 2^4 so the given terms become

((2^4)(x^4))^\frac{1}{4}

powers will get cancel because 4\cdot \frac{1}{4}=1 hence, we get:

2x^4 is the simplified expression.


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A student wants to know how far above the ground the top of a leaning flagpole is. At high​ noon, when the sun is almost directl
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Answer:

15.43 ft

Step-by-step explanation:

To solve this question, one should use the concept of similar triangles.

The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem.  Therefore, the distance of the top of the pole to the ground is:

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The distance of the top of the pole to the ground is 15.43 ft.

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2 years ago
Elias and Niko are polishing the silver at the heritage museum.Elias could polish all the silver himself in 40 minutes.That task
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Let x be the time it takes Elias and Niko to polish the silver working together. If Elias works alone, he could polish all the silver himself in 40 minutes. Then, in 1 minute, he will make \frac{1}{40} of the total work. If the same analysis is applied Niko, in 1 minute, will make \frac{1}{50} of the total work.


Working together Elias and Niko will need x minutes to make all the work. Then, in 1 minute, they will make \frac{1}{x} of the total work.  So, the fraction of the total work they make in 1 minute is given by this equation:

\frac{1}{x}=\frac{1}{40}+\frac{1}{50} \\ \\ \frac{1}{x}=\frac{50+40}{2000} \\ \\ x=\frac{2000}{90} \\ \\ \boxed{x=22.22 minutes}

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