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eduard
3 years ago
10

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

Mathematics
2 answers:
Pachacha [2.7K]3 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]3 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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You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac
andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = \frac{Diameter}{2}=\frac{9}{2}=4.5\ cm

Height of cups = 12 cm

We will find volume of cup.

Volume = \frac{1}{3}\pi r^2h\\

Putting all the values

Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#LearnwithBrainly

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Burka [1]

Answer:

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6 0
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