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natima [27]
2 years ago
8

Help me what to write a word phrase for each algebraic expression. Please help.

Mathematics
1 answer:
andrezito [222]2 years ago
3 0
#1:  The sum of q and 5 
#2:  Twelve times x

Please do as many as you can by yourself and ask questions about those that are hard for you.  

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What is the value of i^n in if the remainder of n/4 is 2?
LekaFEV [45]

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Further Explanation:

Given:

The remainder of \dfrac{n}{4} is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

\boxed{z = a + ib}

Here, a is the real part of the complex number and \text{ib} is the imaginary part of the complex number.

\sqrt{ - 1} can be denoted by i.

The value of {i^2} is -1.

{i^2} =  - 1

The value {i^3} can be obtained as follows,

\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}

The value {i^4} can be obtained as follows,

\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, i^ n, remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.

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