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Korolek [52]
2 years ago
15

Given the algebraic expression the quantity 64 times x to the two-thirds power end quantity to the negative one-third power comm

a, create an equivalent expression.
1 divided by the quantity 4 times x to the one-third power end quantity
1 divided by the quantity 4 times x to the two-ninths power end quantity
4 times x to the one-third power
4 times x to the two-ninths power
Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0

The given algebraic expression is equal to 1 divided by the quantity 4 times x to the two-ninths power end quantity. The correct option is B.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given algebraic expression can be simplified using the exponential properties. Therefore, the simplification of the algebraic expression can be done as shown below.

(64x^{\frac23})^{-\frac13}

= (4^3)^{-\frac13} \times x^{(\frac23 \times -\frac13)}\\\\= 4^{(3 \times -\frac13)} \times x^{(\frac23 \times -\frac13)}\\\\= 4^{-1} \times x^{-\frac29}\\\\=\dfrac{1}{4x^{\frac29}}

Hence, the correct option is B.

Learn more about Expression here:

brainly.com/question/13947055

#SPJ1

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Point A is at (2, -8) and point C is at (-4, 7).
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Answer:

(-2, 2)

Step-by-step explanation:

<u>Given:</u>

  • Point A is at (2, -8) and point C is at (-4, 7)

<u>Difference of coordinates:</u>

  • Δx = 2 - (-4) = 6
  • Δy = - 8 - 7 = - 15

<u>The ratio of AB to AC is 2:1. So:</u>

  • AB = 2*AC/3 and BC = AC/3

<u>Then coordinates of point B should be 2/3 from the point A:</u>

  • x = 2- 6*2/3 = 2 - 4 = -2
  • y = - 8 - (-15)*2/3 = -8 + 10 = 2

So point B has coordinates of (-2, 2)

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3 years ago
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If your install Bratleby on your device, It will help you with this. But you will have to put in an email. and it will give 10  questions to answer for free. Sorry that I cannot help you with this.

Step-by-step explanation:

5 0
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Plz solve ASAP<br>solve the equation<br><br><br>-3(y-5)=24<br><br><br>y=?
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3

Step-by-step explanation:

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Read 2 more answers
Samuel is looking at the floor plan of his house to determine how much carpet he needs to buy for his basement. Based on the flo
DerKrebs [107]

Answer:

B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).

Step-by-step explanation:

Samuel should is looking to find the area of his basement in order to cover it with carpet.

An area is calculated by multiplying two dimensions (so answers A and D are not it).

Best solution is to divide the area into two large rectangles then ADD them together to get the total area.

The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m).  He would have achieved the same result of course, but by going a different way.

3 0
3 years ago
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