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Popular >

simplify (-i)^7

Solution

simplify

(- i)^{7}

Solution

i

Solution steps

(- i)^{7}

Apply exponent rule:

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

if

n

is odd

(- i)^{7} = - i^{7}

= - i^{7}

Apply exponent rule:

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

- i^{7} = - i^{6} i

= - i^{6} i

Simplify

i^{6} : (- 1)^{3}

= - (- 1)^{3} i

Simplify

- (- 1)^{3} i : i

= i

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Frequently Asked Questions (FAQ)

What is (-i)^7 ?
The solution to (-i)^7 is i