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Popular >

Evaluate (-1)^1.5

Solution

simplify

(- 1)^{1.5}

Solution

- i

Solution steps

(- 1)^{1.5}

Apply exponent rule:

a^{\frac{m}{n}} = (a^{\frac{1}{n}})^{m}

(- 1)^{1.5} = ((- 1)^{\frac{1}{2}})^{3}

= ((- 1)^{\frac{1}{2}})^{3}

(- 1)^{\frac{1}{2}} = i

= i^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{3} = i^{2} i

= i^{2} i

Apply imaginary number rule:

i^{2} = - 1

= - 1 i

Apply rule:

1 \cdot a = a

= - i

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Frequently Asked Questions (FAQ)

What is simplify (-1)^{1.5} ?
The solution to simplify (-1)^{1.5} is -i