Express the following in the standard form `a+i b :1/(3-4i)`

Explanation

To express \( \frac{1}{3 - 4i} \) in the standard form \( a + ib \), we can follow these steps:

### Step 1: Multiply by the Conjugate
To eliminate the imaginary part from the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of \( 3 - 4i \) is \( 3 + 4i \).

\[ \frac{1}{3 - 4i} \cdot \frac{3 + 4i}{3 + 4i} = \frac{3 + 4i}{(3 - 4i)(3 + 4i)} \]
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