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Popular >

simplify (-0.5)^{(-0.5)}

Solution

simplify

(- 0.5)^{(- 0.5)}

Solution

- 1.41421 \dots i

Solution steps

(- 0.5)^{(- 0.5)}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{- 0.5}

- 0.5 = 0.5 i

= \frac{1}{0.5 i}

0.5 = 0.70710 \dots

= \frac{1}{0.70710 \dots i}

Divide the numbers:

\frac{1}{0.70710 \dots} = 1.41421 \dots

= \frac{1.41421 \dots}{i}

Rationalize

\frac{1.41421 \dots}{i} : - 1.41421 \dots i

= - 1.41421 \dots i

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Frequently Asked Questions (FAQ)

What is (-0.5)^{(-0.5)} ?
The solution to (-0.5)^{(-0.5)} is -1.41421…i