can someone help me simplify 3/4i
To simplify the expression 3/4i, we can rewrite it in a more standard form.
First, let's recall that i represents the imaginary unit, which is defined as the square root of -1. Therefore, 1/i is equal to -i.
To simplify the expression 3/4i, we can multiply both the numerator and denominator by -i:
(3/4i) * (-i/i) = -3i/4i^2
Now, we can simplify the denominator. We know that i^2 is equal to -1, so we substitute -1 for i^2:
-3i/4(-1) = -3i/-4
Finally, dividing both the numerator and denominator by -1 (which is equivalent to multiplying by -1) gives us:
(-3i/-4) * (-1/-1) = 3i/4
Therefore, the simplified form of 3/4i is 3i/4.