Question

What is the value of i 20+1? 1 –1 –i i

Answer 1

value of the following are
i) 20+1=21
ii) 1 - 1 =0

Answer 2

Answer:

The value of $\bold{(i)^{20+1}}$ is i

Step-by-step explanation:

To find: $(i)^{20+1}=?$

The correct option to this question is = $\mathrm{i}^{21}=\mathrm{i}$

Because: i raised to an odd power is = i.

i, i.e., iota is an imaginary number which is mathematically equals to √(-1) It has been proven that the powers of iota give the value plus or minus i. While in the above case, it can be computed in the following manner: $i^{21}$ can be written as $\left(i^{4}\right)^{5} \cdot i$

We know that, $i^{4}=1$ and $\mathrm{i}^{5}=1$ and 1 x i = i.

Therefore, the correct answer to this question is i.