en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(-1)^5

Solution

simplify

- 1^{5}

Solution

i

Solution steps

(- 1)^{5}

Apply imaginary number rule:

- 1 = i

= i^{5}

Apply exponent rule:

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

i^{5} = i^{4} i

= i^{4} i

Simplify

i^{4} : (- 1)^{2}

= (- 1)^{2} i

Simplify

(- 1)^{2} i : i

= i

Popular Examples

simplify (3x^3y^2)(2y^3)simplify

(3 x^{3} y^{2}) (2 y^{3})

simplify e^{-2t}*e^t simplify

e^{- 2 t} \cdot e^{t}

simplify (\sqrt[3]{7})^4 simplify

simplify [e^{-(2*10^{-7})(48.85)}]^{17}simplify

[e^{- (2 \cdot 1 0^{- 7}) (48.85)}]^{17}

simplify ((y+xy^3)dx+xdy=0)x^{-3}y^3 simplify

((y + x y^{3}) d x + x d y = 0) x^{- 3} y^{3}

Frequently Asked Questions (FAQ)

What is sqrt(-1)^5 ?
The solution to sqrt(-1)^5 is i