What is 0.5e^{j^{30}}*215e^{-j^{90}} ?

The solution to 0.5e^{j^{30}}*215e^{-j^{90}} is 107.5e^{-j^{90}+j^{30}}

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simplify 0.5e^{j^{30}}*215e^{-j^{90}}

simplify

0.5 e^{j^{30}} \cdot 215 e^{- j^{90}}

107.5 e^{- j^{90} + j^{30}}

Solution steps

0.5 e^{j^{30}} \cdot 215 e^{- j^{90}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{j^{30}} e^{- j^{90}} = e^{j^{30} - j^{90}}

= 0.5 \cdot 215 e^{j^{30} - j^{90}}

Multiply the numbers:

0.5 \cdot 215 = 107.5

= 107.5 e^{- j^{90} + j^{30}}

0 \cdot e^{- 0^{2}}

0.25 \cdot e^{- 0.55}

e^{- \frac{5}{2.4}}

(2) e^{- 8 (2)}

3 e^{8}

What is 0.5e^{j^{30}}*215e^{-j^{90}} ?
The solution to 0.5e^{j^{30}}*215e^{-j^{90}} is 107.5e^{-j^{90}+j^{30}}