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What is the value of the expression iºxi1xi2 xj3 xi4?

1 Answer

3 votes

Answer:

The value of the given expression is - 1

Explanation:

I believe you meant this expression to be iº
*
*
*
* i⁴. If that is so, then we can assume that i = imaginary number, and solve for the value of the expression.

Anything taken to the power of 0 is 1, therefore we can simplify the expression as such,

1
*
*
*
* i⁴ ... at the same time anything taken to the power of one, is simply the base value, so -

1
* i
*
*
* i⁴ ... we know that multiplying values of like bases can be combined by adding their exponents, so let's apply that rule -

1
* i¹⁰ ... let's break i¹⁰ into ( i² )⁵. i² is, in other words, - 1 applying the imaginary number rule. Respectively ( - 1 )⁵ = - 1, our solution.

User NestorArturo
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