Point 1: (-3, 7)
Point 2: (-17, 3)
To find the slope, we need to use the slope formula which is as follows: m = (y2 - y1) / (x2 - x1). We will plug in each x and y coordinate from our points above, respectively.
m = (3 - 7) / (-17 - - 3)
m = (-4) / (-14)
m = 2/7
The slope of the line that goes through (-3, 7) and (-17, 3) is 2/7.
Hope this helps!! :)
Answer:
[(2)^√3]^√3 = 8
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(2)^√3]^√3
Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):
[(2)^(3^1/2)]^(3^1/2)
Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
(2)^(3^1/2 · 3^1/2)
Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8
Then the expression can be written as:
[(2)^√3]^√3 = 8
Have a nice day!
