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Popular >

factor i^{27}

Solution

factor

i^{27}

Solution

- i

Solution steps

i^{27}

Apply exponent rule:

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

i^{27} = i^{26} i

= i^{26} i

Apply exponent rule:

a^{b c} = (a^{b})^{c}

i^{26} = (i^{2})^{13}

= i (i^{2})^{13}

Apply imaginary number rule:

i^{2} = - 1

= (- 1)^{13} i

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 1)^{13} = - 1^{13}

= - 1^{13} i

1^{13} = 1

= - 1 i

Multiply:

1 i = i

= - i

Popular Examples

9 x^{2} + 6 x - 32 = 0

factor 8P^2+12P-8 factor

8 P^{2} + 12 P - 8

factor 7x^2+3x factor

7 x^{2} + 3 x

- x = 3

1/2 >=-1/6-2/9 x

\frac{1}{2} \geq - \frac{1}{6} - \frac{2}{9} x

Frequently Asked Questions (FAQ)

What is factor i^{27} ?
The solution to factor i^{27} is -i