<h3>
Answer: -i</h3>
========================================================
Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
- i^0 = 1
- i^1 = i
- i^2 = -1
- i^3 = i*i^2 = i*(-1) = -i
- i^4 = (i^2)^2 = (-1)^2 = 1
By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
-------------
Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
<h3>
-i is the final answer</h3>
--------------
Side notes:
- if i^a = i^b, then a-b is a multiple of 4
- Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
Answer:
1/a = xy/(y-x)
Step-by-step explanation:
Simplify the reciprocal:
1/a = 1/(1/x -1/y) = 1/((y-x)/(xy))
1/a = xy/(y-x)
Answer:
Y = x - 3
Step-by-step explanation:
y = x - 3
if x = 0 , y = -3
if x = 3 , y = 0
if x = 5 , y = 2
In the problem is says that d is greater than 10.5 so any value greater than 10.5 is the answer
X = 11
X= 12
X= 14.
66 x .25 = 16.5 Have a great day.
