1.6k views
5 votes
What is the simplified form of i^34

2 Answers

3 votes

Answer:

-1

Explanation:

Since 34 is an even number, we can factor a 2 out of the exponent of your problem, like this:

i34=(i2)17.

But, i2=-1, so your problem becomes:

-117.

This means, multiply -1 by itself 17 times, to get -1

(Remember, -1 raised to an odd power is always -1, so -117=-1.)

The final answer is:

i34=-1

User X Pahadi
by
3.6k points
6 votes


\text{Hey there!}


\mathsf{What\ is\ the\ simplified\ form\ of\ }\text{<}\mathsf{^(34)\ ?}


\text{(<}^4)^8\mathsf{\ *}\text{<}^2\\\mathsf{1^8}*\text{<}^2\\\mathsf{1^8=1}\\\mathsf{1*}\text{<}\mathsf{^2}\\\mathsf{=}\text{<}\mathsf{^2}\\\\\\\\\boxed{\boxed{\boxed{\mathsf{Answer: -1}}}}\checkmark


\text{Good luck on your assignment and enjoy your day!}

~
\frac{\frak{LoveYourselfFirst}}{:)}

User FattyPotatoes
by
3.8k points