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Popular >

simplify (-i)^{10}

Solution

simplify

(- i)^{10}

Solution

- 1

Solution steps

(- i)^{10}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- i)^{10} = i^{10}

= i^{10}

Apply exponent rule:

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

i^{10} = (i^{2})^{5}

= (i^{2})^{5}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{5}

(- 1)^{5} = - 1

= - 1

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Frequently Asked Questions (FAQ)

What is (-i)^{10} ?
The solution to (-i)^{10} is -1