What is (sqrt(-1))^6 ?

The solution to (sqrt(-1))^6 is -1

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simplify (sqrt(-1))^6

simplify

(- 1)^{6}

- 1

Solution steps

(- 1)^{6}

Apply imaginary number rule:

- 1 = i

= i^{6}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

i^{6} = (i^{2})^{3}

= (i^{2})^{3}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{3}

(- 1)^{3} = - 1

= - 1

(2 a b^{3} c^{3}) (5 b^{2} c^{4} d)

(\frac{1}{2} e^{\frac{x}{2}}) (x e^{\frac{x}{2}})

0.08 \times 1 0^{- 3}

e^{- \frac{1}{8} (6)}

(ln (8 x) + 1) (8 x)^{x}