Answer:
The given complex number is (-2.5 + i4.2).
To express it in exponential form, we need to find the modulus (r) and argument (θ) of the complex number.
The modulus is given by:
|r| = √((-2.5)^2 + (4.2)^2) = √(6.25 + 17.64) = √23.89 ≈ 4.888
The argument is given by:
θ = tan⁻¹(4.2/(-2.5)) = tan⁻¹(-1.68) ≈ -1.03 radians
Therefore, the exponential form of the complex number is:
(-2.5 + i4.2) = 4.888e^(-i1.03)