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If $a=2$ and $b=2i$ , then find the value of the $ab^{3}$ in fully simplified form.

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Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. If

a=2

and

b=2i

, then find the value of the

ab^{3}

in fully simplified form.

Given: $a, b$ : Given: $\newline$ $a = 2$ $\newline$ $b = 2i$ $\newline$ Find $b^3$ . $\newline$ $b = 2i$ $\newline$ $b^3 = (2i)^3$ $\newline$ $b^3 = 2i \times 2i \times 2i$ $\newline$ $b^3 = -8i$
Find $b^3$ : We have: $\newline$ $a = 2$ $\newline$ $b^3 = -8i$ $\newline$ Now calculate the expression for $ab^3$ . $\newline$ $ab^3 = 2 \times (-8i)$ $\newline$ $ab^3 = -16i$

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