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Katarina [22]
3 years ago
7

How do you simplify 2^5/2^2

Mathematics
2 answers:
pantera1 [17]3 years ago
6 0
Since both the numerator and the denominator have the same base number the power of the denominator can go to the power of the numerator with a sign change
2^(5-2)/1
2^3/1
8/1
the answer is 8
valkas [14]3 years ago
4 0
I believe this is your answer 8/1

2^5 = 32

2^2 = 4

-------

2^5/2^2 is equal to 32/4.

Simplify 32/4.

32/4 in simplest form is 8/1

To get this answer you find GCD. Which is 4.

32 divided by 4 is 8

4 divided by 4 is 1.


8/1 is your answer.

Hope this helps! :)
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What is the equation of the line in slope-intercept form?
Marysya12 [62]

Answer:

The equation of the line in slope-intercept form is:

y = x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points on the line graph

  • (0, 4)
  • (1, 5)

Determining the slope between (0, 4) and (1, 5)

(x₁, y₁) = (0, 4)

(x₂, y₂) = (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [5 - 4] / [1 - 0]

                = 1 / 1  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 1 in the slope-intercept form

y = mx + b

y = (1)x + 4

y = x + 4

Therefore, the the equation of the line in slope-intercept form is:

y = x + 4

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3 years ago
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