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Popular >

simplify 3i^{31}

Solution

simplify

3 i^{31}

Solution

- 3 i

Solution steps

3 i^{31}

Apply exponent rule:

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

i^{31} = i^{30} i

= 3 i^{30} i

Simplify

i^{30} : (- 1)^{15}

= 3 (- 1)^{15} i

Simplify

(- 1)^{15} i : - i

= 3 (- i)

Apply rule:

a (- b) = - ab

3 (- i) = - 3 i

= - 3 i

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Frequently Asked Questions (FAQ)

What is 3i^{31} ?
The solution to 3i^{31} is -3i