Divide the following complex numbers (5i)/(4+3i)

To divide these complex numbers you have to multiply by the conjugate of the denominator.  That will look like this:  .  Multiply straight across the top and straight across the bottom to get  .  In the denominator, the 12i and -12i cancel each other out, which is nice.  Now, in both the numerator and the denominator we have an i-squared.  i-squared is equal to -1, so we will make that substitution in our solution:  .  Doing the math on that we have  .  We can simplify that as well as write it in standard form:  .  Now we will get it into legit standard form, separating the real part of the complex number from the imaginary part.  .  That can be reduced to its final answer of  .  There you go!

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.