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

Answer Link

Otras preguntas

What is a simpler form of the radical expression? 4 sqrt 81x^20y^8

Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in a tank that is half-full?

Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side

When the production manager finds the average life of her bulb-lifetime data, this is an example of what phase of inferential statistics?.

proszę przetłumaczyć mi podziękowanie na jęz angielski

Why do workers with more education and training generally get paid higher wages ?

36 is 75% of what number

Karyotypes can be studied to determine an organism’s chromosomal makeup and to detect genetic defects. Turner syndrome occurs when a female has an incomplete se

To the nearest hundredth, what is the distance between point (6,-1) and point (4,3)?

Perform these calculations, following the rules for significant figures. a) 26 x 0.02584 =?. b) 15.3: 1.1 =?. c) 782.45 – 3.5328 =?