Imaginary units and I and dividing with exponents

Question

—4/5i

Then

6 / 3^1/3

Answer 1

-4 / 5i

we need to use the complement, -5i. We will multiply the fraction -4 /5i on the top and bottom by -5i. This is essentially multiplying by one, but with some fun results (remember i² = -1)

(-4)(-5i) 20 i 20 i 20 i

--------- = ----- = -------- = ---- = 4i / 5

(5i)(-5i) -25 i² -25(-1) 25

6/ 3^(1/3) Let's cube the top and bottom and see what happens and remember our fraction math.

(2³)(3³) (2³)(3³) (2³)(3³)

--------- = -------- = -------- = 8(3²) = 8*9 = 72

(3^(1/3))³ 3^(3/3) 3

Hope this helps

Answer 2

6/3^1/3=6/1.4417......=4.1616.......