en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify i^{-45}

Solution

simplify

i^{- 45}

Solution

- i

Solution steps

i^{- 45}

Apply exponent rule:

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

i^{- 45} = \frac{1}{i ^{45}}

= \frac{1}{i ^{45}}

Simplify

i^{45} : 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}

Apply the fraction rule:

\frac{a}{1} = a

= - i

Popular Examples

simplify (1+1/x)/(x-1/x)simplify

\frac{1 + \frac{1}{x}}{x - \frac{1}{x}}

simplify-(96)/(-4)simplify

- \frac{96}{- 4}

expand (-2x+3)^3 expand

(- 2 x + 3)^{3}

simplify (e^{-3}*3^2)/(2!)simplify

\frac{e ^{- 3} \cdot 3 ^{2}}{2 !}

factor 1+27s^3 factor

1 + 27 s^{3}

Frequently Asked Questions (FAQ)

What is i^{-45} ?
The solution to i^{-45} is -i