The modulus of (1 + 2i)^4 is 5 20 25 625

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The modulus of (1 + 2i)^4 is 5 20 25 625

The modulus of (1 + 2i)^4 is 5 20 25 625

[tex]|z|=25[/tex]

Step-by-step explanation:

The given expression is:

[tex](1+2i)^4[/tex]

The exponent is not very large so we can expand it.

[tex](1+2i)^4=(1+2i)^2(1+2i)^2[/tex]

[tex](1+2i)^4=(4i-3)(4i-3)[/tex]

[tex](1+2i)^4=16i^2-12i-12i+9[/tex]

[tex](1+2i)^4=-16-12i-12i+9[/tex]

[tex](1+2i)^4=-7-24i[/tex]

The modulus is

[tex]|z|=\sqrt{(-7)^2+(-24)^2}[/tex]

[tex]|z|=\sqrt{49+576}[/tex]

[tex]|z|=\sqrt{625}[/tex]

[tex]|z|=25[/tex]

I’m pretty sure the * means multiplication. so, if you multiply 5*1, it would equal 5. they are basically are-writing 5x1 as 5*1. so they would be… 5 10152025303540455055

A= the square root of 3“if letters are anything like people, they’re all equal and deserve to be treated equally.”