Mathematics: What is the value of i 97 – i? –i 0 –2i i Superscript 96

184.2 in^3Step-by-step explanation:vol of cone==184.2...

What is the value of i 97 – i? –i 0 –2i i Superscript

katiaciceron3912

18.01.2022

The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue

$i^{97}-i=0$

Step-by-step explanation:

Powers of The Imaginary Unit

The imaginary unit i is defined as

$i=\sqrt{-1}$

The first powers of i are

i^0=1

i^1=i

$i^2=(\sqrt{-1})^2=-1$

i^3=i.i^2=-i

i^4=i^2.i^2=1

And so on the cycle repeats every four numbers. To find the value of $i^{96}$ we can find the remainder of 96/4=0. So $i^{96}=i^0=1$

The given expression is

$i^{97}-i$

Factoring

$i(i^{96}-1)$

Since $i^{96}=1$

=i(1-1)=0

The required value is 0

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kaysavage7674

17.03.2021

184.2 in^3

Step-by-step explanation:

vol of cone=

$\pi {r}^{2} \frac{h}{3}$

$3.14 \times 16 \times \frac{11}{3}$

=184.2

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