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Evaluate the expression 4 / (3i) and write the result in the form a + bi. The real number a equals The real...

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

Answer

To evaluate the expression 4 / (3i), multiply the numerator and the denominator by -i to eliminate the imaginary unit from the denominator:

  1. 4 / (3i) = (4 * -i) / (3i * -i) = -4i / (-3) = (4/3)i

Thus, the expression in the form a + bi is 0 + (4/3)i.

  1. The real number a equals 0.
  2. The real number b equals 4/3.

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