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  1. [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]

  2. 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

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

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