simplify 8i^{87}

Solution

simplify

8 i^{87}

- 8 i

Solution steps

8 i^{87}

Apply exponent rule:

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

i^{87} = i^{86} i

= 8 i^{86} i

Simplify

i^{86} : (- 1)^{43}

= 8 (- 1)^{43} i

Simplify

(- 1)^{43} i : - i

= 8 (- i)

Apply rule:

a (- b) = - ab

8 (- i) = - 8 i

= - 8 i

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