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Murljashka [212]
3 years ago
11

Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the p

ower of 10 close parentheses cubed 2 to the power of short dash 10 end exponent over denominator 2 to the power of short dash 7 end exponent end fraction
Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

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How are the perimeters of the preimage polygon and the image polygon related? Explain.
Romashka-Z-Leto [24]

The difference between Pre-Image and Image is given as follows:

  • Image is the shape AFTER a transformation is the picture of the transformation.
  • A transformation's preimage is the shape BEFORE the change.

<h3>How do you define relationships between Image and Preimage?</h3>

Usually, the difference between image and pre-image is the way or method of transformation.

<h3>What is transformation in math?</h3>

A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure.

The Pre-Image is the original shape of the item, and the Image during the transformation is the final shape and location of the object.

The types of transformation in math are;

  • translation
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Learn more about pre-image:
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7 0
1 year ago
Which of the following arithmetic sequences have a common difference of ? -4,-1.5,1,3.5,6,8.5 1.5,3,4.5,6,7.5
zavuch27 [327]
F(x+1) = f(x) + 2.5 with f(x) is the current number.
7 0
3 years ago
Joel earns $5.50 an hour and time-and-a-half for overtime. how much does he earn for a 44.5-hour week?
vova2212 [387]
The expression which can be used to solve this problem is 5.50h + 1.5h. 

Since the given data is 44.5 hour week, all we need to do is substitute the given data to the expression. Since it takes 56 hours a week for a complete office/working hour without overtime, Joel's 44.5 hour week means he did not have overtime hours. Therefore the solution is,

5.50(44.5) = 244.75 Dollars.
3 0
3 years ago
Find the four arithmetic means between 100 and 135. Show work.
Masteriza [31]

Answer:

Please read the answers below.

Step-by-step explanation:

Let's calculate the four means between 100 and 135, this way:

1. Arithmetic mean:

(100 + 135)/2 = 117.5

2. Weighted mean:

We will assign equal weight to both numbers : 5

(100 * 5 + 135 * 5)/10 = (500 + 675)/10 = 1,175/10 = 117.5

3. Geometric mean:

√100 * 135 = √13,500 = 116.2 (Rounding to the next tenth)

4. Harmonic mean:

2/(1/100 + 1/135) = 2/(0.01 + 0.0074) = 114.9 (Rounding to the next tenth)

7 0
3 years ago
Read 2 more answers
Solve 4x + 10-30<br> X&lt;5<br> x&gt;5<br> X&lt;10<br> X&gt;10
LekaFEV [45]

Answer:

0

Step-by-step explanation:

4x + 10 - 30

4 × 5 + 10 - 30

20 +10 - 30

30 - 30

0

3 0
3 years ago
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