What is the answer (-32)^-3/5

Mathematics

2 answers:

scZoUnD [109]3 years ago

8 0

-32^-3/5
5√(-32^5)-³
5√(1/1,034,927,767)
1/63.53046116

horsena [70]3 years ago

4 0

$-32 ^{- \frac{3}{5} }$

$\frac{1}{-32}^{ \frac{3}{5} }$

$= \sqrt[5]{ (\frac{1}{-32}) ^{3} }$

$=- \frac{1}{8}$

Answer: $- \frac{1}{8}$

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Find the distance between (5, -4) and (-1, -2)

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Answer: The distance is sqrt(40).

Step-by-step explanation:

Let's use the Pythagorean Theorem (a^2 + b^2 = c^2)

(Look at the image I attached)

Let's set a = 2 and b = 6. The mystery side is c, which is opposite to the right angle that is formed when you draw perpendicular lines from each of the points.

(2)^2 + (6)^2 = c^2 <--- First, we need to simplify

4 + 36 = c^2

40 = c^2 <--- Now, we need to take the square root of both sides.

c = sqrt(40)

So, the distance between (5, -4) and (-1, -2) is sqrt(40). I recommend looking at some videos on Khan Academy if you need more help! Let me know if you want me to attach a link that you can visit.