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Popular >

simplify i^{57}

Solution

simplify

i^{57}

Solution

i

Solution steps

i^{57}

Apply exponent rule:

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

i^{57} = i^{56} i

= i^{56} i

Simplify

i^{56} : (- 1)^{28}

= (- 1)^{28} i

Simplify

(- 1)^{28} i : i

= i

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\frac{12 5 ^{- 3} \cdot 25}{5 ^{- 8}}

Frequently Asked Questions (FAQ)

What is i^{57} ?
The solution to i^{57} is i