Can A Negative Base Be Raised To A Fraction Nov 29 2023 0183 32 If the fractional power can be simplified to a form where the negative base is raised to an integer power it might be allowed For example 8 2 3 can be simplified to 8 2 1 3 which equals 4
Dec 23 2019 0183 32 You can raise negative numbers to rational exponents that have odd denominators just not even denominators and still return real results For example 4 189 2i gt imaginary roots Oct 8 2019 0183 32 EDIT Unfortunately as you ve seen we can t just write a bc when a is negative if we really mean a b c but practically speaking we don t usually write complex expressions where negative numbers are raised to a power
Can A Negative Base Be Raised To A Fraction
Can A Negative Base Be Raised To A Fraction
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Fractions with negative exponents can be solved by taking the reciprocal of the fraction Then find the value of the number by taking the positive value of the given negative exponent For example 3 4 2 4 3 2 4 2 3 2
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Can A Negative Base Be Raised To A Fraction
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For the continuous real exponentiation operator you re not allowed to have a negative base For the discrete real exponentiation operator we allow fractional exponents with odd denominators and a b c sqrt c a b left sqrt c a right b 1 b a b c and this is allowed because every real number has a unique c th
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Dec 13 2021 0183 32 1 can very well be raised to some rational exponents namely those with an odd denominator E g 1 4 7 1 because 1 4 1 7 and 1 3 7 1 because 1 3 1 7 Irrational exponents do not allow this quot trick quot
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Jul 19 2013 0183 32 The square root fractional power of negative 1 is i It bales when it thinks it s getting into complex number territory Raising to a power takes precedence over the unary minus sign So you have 0 13905775075987842 0 2 and not 0 13905775075987842 0 2 as you expect File quot lt stdin gt quot line 1 in lt module gt
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To solve negative exponents with fractions we have to use both the negative exponents rule and the fractional exponent s rule We will look at the process that can be used to simplify expressions that have negative exponents with fractions along with various exercises to
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Dec 15 2019 0183 32 I just learned that negative bases with a fractional exponent with an odd denominator are solvable using real numbers but not with an even denominator But why can t the denominator be made to be odd
An exponent with a negative fractional base refers to the mathematical expression where a negative number is raised to a fraction For example 2 1 3 or 5 2 5 It involves taking the root of a negative number which can lead to unique results and properties A negative exponent on a base means that the base is on the wrong side of the fraction line To correct this just flip the base to the other side
Jan 27 2017 0183 32 When in general is a negative base raised to a rational power undefined for real numbers We wish to preserve the idea that frac a b frac 2a 2b frac a 2 b 2 We don t want any special restrictions to be placed on that arithmetic