What is (i^{30}-1)/(i^{15)-i} ?

The solution to (i^{30}-1)/(i^{15)-i} is -i

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simplify (i^{30}-1)/(i^{15)-i}

simplify

\frac{i ^{30} - 1}{i ^{15} - i}

- i

Solution steps

\frac{i ^{30} - 1}{i ^{15} - i}

Simplify

i^{30} - 1 : - 2

= \frac{- 2}{i ^{15} - i}

Simplify

i^{15} - i : - 2 i

= \frac{- 2}{- 2 i}

Cancel the common factor:

- 2

= \frac{1}{i}

Simplify

\frac{1}{i} : - i

= - i

\frac{10 !}{8 ! ( 10 - 8 ) !}

42 - 4

(3 x^{2} + 1)^{4}

\frac{1}{4} \times (- 6)

\frac{1}{4} \times 60