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Rainbow [258]
3 years ago
15

2^5*2^negative 3 simplify​

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

4

Step-by-step explanation:

Simplify the following:

2^5/2^3

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 2^5/2^3.

Combine powers. 2^5/2^3 = 2^(5 - 3):

2^(5 - 3)

Hint: | Subtract 3 from 5.

5 - 3 = 2:

2^2

Hint: | Evaluate 2^2.

2^2 = 4:

Answer: 4

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Vaimiti walks at a constant pace of 1.1 m/s and takes 25 minutes to get to school.
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Solution:

<u>Note that:</u>

  • Speed = Distance/Time
  • Vaimiti speed = 1.1 m/s
  • Jabril speed = 1.3 m/s

<u>Converting the time (minutes to seconds) for Vaimiti to reach school:</u>

  • Vaimiti's time to reach school: 25 minutes = 25 x 60 seconds
  • => Vaimiti's time to reach school: 1500 seconds

<u>Converting the time (minutes to seconds) for Jabril to reach school:</u>

  • Jabril's time to reach school: 30 minutes = 30 x 60 seconds
  • => Jabril's time to reach school: 1800 seconds

<u>Finding the distance of Vaimiti:</u>

  • Speed = Distance/Time

Important: <em>The distance will be in meters since the speed units is </em><u><em>meters</em></u><em>/seconds.</em>

  • => 1.1 meters/second = Distance/1500
  • => 1.1 x 1500 = Distance
  • => 1650 meters = Distance (In meters)

<u>Finding the distance of Jabril:</u>

  • Speed = Distance/Time

Important: <em>The distance will be in meters since the speed units is </em><u><em>meters</em></u><em>/seconds.</em>

  • 1.3 meters/second = Distance (In meters)/1800 seconds
  • => 1.3 x 1800 = Distance (In meters)
  • => 2340 meters = Distance (In meters)

This can lead to two possible solutions:

Possible solution #1:

<u>Finding the difference between the two distances:</u>

  • 2340 meters - 1650 meters = Difference (In meters)
  • => 690 meters

Possible solution #2:

The difference between the <u>distances they walked</u> is that Jabril walked <u>faster</u> than Vaimiti, but Vaimiti reached <u>school</u> earlier than Jabril because the <u>walking distance</u> for Vaimiti is less than the <u>walking</u> <u>distance</u> for Jabril.

Hoped this helped!

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