en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify i^{-15}

Solution

simplify

i^{- 15}

Solution

i

Solution steps

i^{- 15}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= \frac{1}{i ^{15}}

Simplify

i^{15} : - i

= \frac{1}{- i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{1 \cdot ( - i )}{- i ( - i )}

Simplify

\frac{1 \cdot ( - i )}{- i ( - i )} : \frac{- i}{- 1}

= \frac{- i}{- 1}

Simplify

\frac{- i}{- 1} : i

= i

Popular Examples

4 x^{2} - 20 x + 24 = 0

(1.57*10^{-5})*10=x^2

(1.57 \cdot 1 0^{- 5}) \cdot 10 = x^{2}

factor a^5-b^5 factor

a^{5} - b^{5}

factor x^3+9x^2+24x+20 factor

x^{3} + 9 x^{2} + 24 x + 20

factor 4+2sqrt(3)i factor

4 + 23 i

Frequently Asked Questions (FAQ)

What is i^{-15} ?
The solution to i^{-15} is i