Final answer:
The expression 5/3-15i is already in standard form with the real component as 5/3 (or approximately 1.6667) and the imaginary component as -15i, giving 5/3-15i or 1.6667-15i.
Step-by-step explanation:
To write the expression 5/3-15i in standard form, we must convert the fraction into a decimal or whole number if possible, and then write the real and imaginary components separately.
The real component is 5/3, which can be either left as an unreduced fraction or converted to a decimal, which is approximately 1.6667. The imaginary component is -15i. Therefore, the standard form of the complex number does not require changes; the original expression is already in standard form: 1.6667 - 15i or as a fraction 5/3 - 15i.
Standard form of a complex number is typically written as a + bi, where a is the real part and bi is the imaginary part. Since there are no common factors in the numerator and denominator that require canceling, the standard form of the given expression is complete as it is.