Hot Question on Cool Topic of Power #1

Algebra Level 2

( − 4 ) ( − 3 ) ( − 2 ) ( − 1 ) = ? \huge \color{#D61F06}{(-4)^{(-3)^{(-2)^{(-1)}}}=?}

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A positive Irrational Number less than 1. A positive Rational Number less than 1. A negative Irrational Number A negative Rational Number A Non-Real Number

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Nihar Mahajan
May 15, 2015

( − 4 ) ( − 3 ) ( − 2 ) ( − 1 ) = ( − 4 ) ( − 3 ) ( 1 − 2 ) ( 1 ) = ( − 4 ) ( 1 − 3 ) \huge(-4)^{(-3)^{(-2)^{(-1)}}} \\ \huge =(-4)^{(-3)^{\left(\frac{1}{-2}\right)^{(1)}}} \\ \huge =(-4)^{\sqrt{\left(\frac{1}{-3}\right)}}

This tells us that the given expression is a NON-REAL number.

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This is called as complex number.

Hafizh Ahsan Permana - 5 years, 11 months ago

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@Hafizh Ahsan Permana Ummm.......nope.....all real numbers are a subset of complex numbers............

Aaghaz Mahajan - 2 years, 7 months ago

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