2 years ago

What is the simplified form of i^13

Mathematics

1 answer:

Nikitich [7]2 years ago

4 0

Answer:

Step-by-step explanation:

$\begin{array}{lclcr}i^{1} & = &(\sqrt{-1})^{1}&=& i\\i^{2} & = & (\sqrt{-1})^{2}& =&-1\\i^{3} & = & (\sqrt{-1})^{3}&=&-i\\i^{4} & = & (\sqrt{-1})^{4}& = &1\\\end{array}$

Multiplying by i repeats the pattern .

Thus, any i⁴ⁿ = 1

If n = 3, 4n = 12, so

i¹² = 1 and

i¹³ = i¹ = i

You might be interested in

7. This year, the water in a reservoir dropped by 60%. For the original water level to be restored next year, by what percent mu

ale4655 [162]

Answer:

Given: Water in a reservoir dropped by 60%

Step-by-step explanation:

let the total water level of reservoir be 100.

then, in first year

the water reservoir dropped = 60% of 100

= $\frac{60}{100}$ * 100

= 60

therefore, total water level needed to be restored till next year= 100

remaining water level to restore till next year= 100-60

=40

percentage= $\frac{40}{100}$ * 100

=40%

8 0

2 years ago

I need your help pls. And if your not oo busy I have another one I need help with thx <3

Helen [10]

Hi I’m not rlly good at math but there are apps that scan the question and it gives you the answer right away!

4 0

2 years ago

Please help! and show some sort of work so i know its correct! thanks<3

pychu [463]

9514 1404 393

Answer:

C. parallelogram, then rectangle

Step-by-step explanation:

The attached image shows how the shape evolves as the number of segments of the circle increases. The smaller the central angle, the closer the shape becomes to a rectangle.