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qwelly [4]
2 years ago
12

How do I simplify (6^-2)(3^-3)(3 x 6)^4? Not the answer, just the simplified expression.

Mathematics
1 answer:
Mazyrski [523]2 years ago
5 0

The simplification form of the provided expression is 108 after applying the integer exponent properties.

<h3>What is integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an expression:

=\left(6^{-2}\right)\left(3^{-3}\right)\left(3\:\cdot \:6\right)^4

=\dfrac{1}{36}\cdot \dfrac{1}{27}\left(3\cdot \:6\right)^4

=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \:81\cdot \:1296

=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \dfrac{104976}{1}

=\dfrac{104976}{972}

= 108

Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

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The first month has the equation raised to 11 which is the number of months left in the period.

So each month the equation would be the same except it would be raised to 1 less than the previous month.

Month 2 = 50(1.003)^10

Month 3 = 50(1.003)^9

Month 4 = 50(1.003)^8

Month 5 = 50(1.003)^7

Month 6 = 50(1.003)^6

Month 7 = 50(1.003)^5

Month 8 = 50(1.003)^4

Month 9 = 50(1.003)^3

Month 10 = 50(1.003)^2

Month 11 = 50(1.003)^1

Month 12 = 50(1.003) ( the last month would not be raised to anything)

6 0
3 years ago
Read 2 more answers
Pleaseee ASAP I GIVE 30 pts <br> Calculate the area
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Ans

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All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these

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5 0
3 years ago
Which of the following is true statement?
andriy [413]

Answer:

B

Step-by-step explanation:

I think

7 0
3 years ago
You are driving from San Antonio to Dallas and the distance between the two cities is 277 miles. If you drive at a flat rate of
DaniilM [7]

Answer:yes, you will make the journey on time.

Step-by-step explanation:

The distance between San Antonio and Dallas is 277 miles.

Distance covered = speed/time

Time = distance covered/speed of the car.

If you drive at a flat rate of 65 miles per hour, it means that the time it will take you to cover 277 miles will be

277/65 = 4 17/65 = 4.26 hours

The amount of time that you have for the journey is 4 1/2 hours = 4.5 hours. Since 4.5 hours is greater than 4.26 hours, then you will make the journey on time.

4 0
3 years ago
The average of five numbers is 34. Two of the numbers are the same, and the other three are 49, 25, and 42. Find the value of th
murzikaleks [220]

Answer:

Both numbers = 27

Step-by-step explanation:

( x + x + 49 + 25 + 42)/ 5 = 34          Multiply both sides by 5

(2x + 49 + 25 + 42) = 34*5 = 170     Combine the left

(2x + 116) = 170                                 Remove the brackets.

2x + 116 = 170                                   Subtract 116 from both sides

2x = 170 - 116

2x = 54                                             Divide by 2

x = 54/2

x = 27

Check

27 + 27 + 49 + 25 + 42

170 / 5 = 34

It does check out.

27 is right.

3 0
3 years ago
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