Convert the following fractions to decimals9/166 3/51/4
1 answer:
You might be interested in
Answer:
52
Step-by-step explanation:
(I replaced
with
since we are to find
.)
(By the order of operations, we take care of the exponents before whatever else we have here.)
(By the order of operations, we take care of the multiplication as we see if left to right.)
(By the order of operations, we perform addition/subtraction as we see it left to right.)
(This completes the simplification.)
We could have also put this in our calculator as:
4(4)^2 - 2(4) - 4
This would have returned 52.
Check the picture below.
so, hmmm notice, since i² = -1 and i⁴ = 1, whenever the exponent is only divisible by 2, the value will be -1, and whenever the exponent is divisible by 4, we end up with a +1, so every subsequent even exponent is simply cancelling the previous value, if we take that to the even value of 100, which has 50 pairs of those, we end up with, yeap, you guessed it, 0.
