The simplified form of i^15 can be found by realizing that i, which represents the square root of -1, has a cycle:

i^1 = i,
i^2 = -1,
i^3 = -i,
i^4 = 1,
and then the pattern repeats.

So, to simplify i^15, we can divide 15 by 4 (the length of the cycle) and use the remainder to determine the equivalent exponent.

15 divided by 4 is 3 remainder 3.

So, i^15 is equivalent to i^3, which is -i.

So, the answer is B. -i.

Question

The simplified form of i^15 can be found by realizing that i, which represents the square root of -1, has a cycle:

i^1 = i,
i^2 = -1,
i^3 = -i,
i^4 = 1,
and then the pattern repeats.

So, to simplify i^15, we can divide 15 by 4 (the length of the cycle) and use the remainder to determine the equivalent exponent.

15 divided by 4 is 3 remainder 3.

So, i^15 is equivalent to i^3, which is -i.

So, the answer is B. -i.

Knowee AI · Accepted Answer

The simplified form of i^15 can be found by realizing that i, which represents the square root of -1, has a cycle:

i^1 = i,
i^2 = -1,
i^3 = -i,
i^4 = 1,
and then the pattern repeats.

So, to simplify i^15, we can divide 15 by 4 (the length of the cycle) and use the remainder to determine the equivalent exponent.

15 divided by 4 is 3 remainder 3.

So, i^15 is equivalent to i^3, which is -i.

So, the answer is B. -i.

What is the simplified form of i15?A.1B.-iC.-1D.iSUBMITarrow_backPREVIOUS