Web Analytics

Questions › Math

Math Asked by a SnapAndSolve user · about 2 hours ago

Evaluate the expression \( \frac{4}{3i} \) and write the result in the form \( a + bi \). The real number...

Evaluate the expression \( \frac{4}{3i} \) and write the result in the form \( a + bi \).
The real number \( a \) equals
The real number \( b \) equals

Answer

To evaluate \( \frac{4}{3i} \) and write it in the form \( a + bi \), multiply the numerator and the denominator by \( -i \) to rationalize the denominator:

  1. \( \frac{4}{3i} \times \frac{-i}{-i} = \frac{-4i}{-3i^2} = \frac{-4i}{3} \) (since \( i^2 = -1 \)).
  2. \( \frac{-4i}{3} = 0 + \left(-\frac{4}{3}\right)i \).

The real number \( a \) equals: 0

The real number \( b \) equals: -\frac{4}{3}

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help

More math questions