Funkalucious Funkalucious

19-08-2020
Mathematics

contestada

The modulus of (3 - 4i)^4 is _____.

5
20
81
625

Respuesta :

jimrgrant1 jimrgrant1

19-08-2020

Answer:

625

Step-by-step explanation:

The modulus of 3 - 4i is

[tex]\sqrt{3^2+(-4)^2}[/tex] = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5, thus

| [tex](3-4i)^{4}[/tex] |

= [tex]5^{4}[/tex]

= 625

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