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Marianna [84]
2 years ago
6

(y^3/2 x^-1/2)^4 Use the properties of exponents

Mathematics
1 answer:
Zolol [24]2 years ago
6 0

Using the properties of exponents, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

<h3>Evaluating an expression </h3>

From the question, we are to evaluate the given expression

The given expression is

(y^3/2 x^-1/2)^4

Using the properties of exponents, we can simplify the expression as shown below

(y^3/2 x^-1/2)^4

[y^(3/2×4) x^(-1/2×4)]

[y^(12/2) x^(-4/2)]

(y^6 x^-2)

OR

(y⁶ x⁻²)

Hence, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

Learn more on Evaluating an expression here: brainly.com/question/1403904

#SPJ1

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Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses
Elan Coil [88]

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( 1.5, 0)

Step-by-step explanation:

1. Find the coordinates ; in this case (7,-2) and (-4, 2)

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4. Therefore, the midpoint is ( 1.5, 0 )

                                         

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3 years ago
Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at thi
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Answer:

Check Explanation

Step-by-step explanation:

Some information required to answer this question is missing, but on a general basis, here goes the carefully researched response.

Majority of popular truck ladders are about 75 to 105 feet long. There are special truck ladders that reach up to 125 feet.

The length of a truck ladder is naturally limited by weight. The weight has to not be too much so that the truck can still move at a good enough speed on the roads. The weight of these ladders are primarily dependent on the strength of the metal used to make them.

At the top of these ladders, on a windy day, eind interference can cause the ladder to move back and forth all over the place, rhereby endamgerimg lives further and using a light material because we want the truck to still be able to move, will not work because light ladders especially, are easily carried by wind.

The 105-foot aerial ladder can reach 7 to 8 floors depending on the height of the floors.

The 25th floor of an office building can be accessed using a ladder that is about 225 ft long and that simply, is not feasible at all to manufacture this ladder considering the required weight and how too far away in the air this ladder would be, there would be little or no control over this.

Hence, a more realistic solution would be an helicopter that is steadied to slowly get people out of that floor.

Also, if the elevators or stairs are still accessible, these are better alternatives than a 225 ft long ladder aiming to reach the 25th floor.

Hope this Helps!!!

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