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Popular >

simplify (sqrt(-1))^{79}

Solution

simplify

(- 1)^{79}

Solution

- i

Solution steps

(- 1)^{79}

Apply imaginary number rule:

- 1 = i

= i^{79}

Apply exponent rule:

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

i^{79} = i^{78} i

= i^{78} i

Simplify

i^{78} : (- 1)^{39}

= (- 1)^{39} i

Simplify

(- 1)^{39} i : - i

= - i

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Frequently Asked Questions (FAQ)

What is (sqrt(-1))^{79} ?
The solution to (sqrt(-1))^{79} is -i