Home Mathematics The modulus of (1 + 2i)^4 is 5 20 25 625 The modulus of (1 + 2i)^4 is 5 20 25 625Mathematics Whosdarrin9396October 23, 20213 CommentsThe 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]Reply
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 10152025303540455055Reply
A= the square root of 3“if letters are anything like people, they’re all equal and deserve to be treated equally.”Reply
[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.”