Answer:
283 is the answer
Step-by-step explanation:
This appears to be about rules of exponents as much as anything. The applicable "definitions, identities, and properties" are
i^0 = 1 . . . . . as is true for any non-zero value to the zero power
i^1 = i . . . . . . as is true for any value to the first power
i^2 = -1 . . . . . from the definition of i
i^3 = -i . . . . . = (i^2)·(i^1) = -1·i = -i
i^n = i^(n mod 4) . . . . . where "n mod 4" is the remainder after division by 4
1. = -3^4·i^(3·2+0+2·4) = -81·i^14 =
812. = i^((3-5)·2+0 = i^-4 =
13. = -2^2·i^(4+2+2+(-1+1+5)·3+0) = -4·i^23 =
4i4. = i^(3+(2+3+4+0+2+5)·2) = i^35 =
-i
Answer:
<em>The third choice gives the correct sequence.</em>
Step-by-step explanation:
<u>The Number Line</u>
To represent numbers in the line, we use arrows starting from the mark for zero up to the given number. If the number is positive, the arrow points to the right and if the number is negative, the arrow points to the left.
The number -3 must be represented as an arrow to the left side of length 3. Subtracting something from the number should also point to the left side, but if the number is negative, then the new arrow points to the right side.
To subtract -1, the arrow should point to the right starting from -3
The third choice gives the correct sequence.
Answer: probably A
Step-by-step explanation: