Determine the absolute value of each of the following complex numbers: a. \(z = 5 + 12i\) b. \(2 - 3i.\)

Write the complex number in trigonometric form \(r(\cos \theta + i \sin \theta)\),with theta in the interval \(\displaystyle{\left[{0}^{\circ},{360}^{\circ}\right]}\) \(\displaystyle{5}\sqrt{{3}}+{5}{i}\)

\((−5)\times \cdots \times (−5) 17 times\)

Write each complex number in standard form. \(2(\cos 30^{\circ} + i \sin 30^{\circ})\)