What is 2-i^5+i^{10}-i^{15} ?

The solution to 2-i^5+i^{10}-i^{15} is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2-i^5+i^{10}-i^{15}

simplify

2 - i^{5} + i^{10} - i^{15}

1

Solution steps

2 - i^{5} + i^{10} - i^{15}

i^{5} = i

i^{10} = - 1

i^{15} = - i

= 2 - i - 1 - (- i)

Apply rule:

a - (- b) = a + b

- 1 - (- i) = - 1 + i

= 2 - i - 1 + i

Group like terms

= - i + i + 2 - 1

Add similar elements:

- i + i = 0

= 2 - 1

Subtract the numbers:

2 - 1 = 1

= 1

3 \frac{5}{7}

3 \frac{5}{9}

2 a + 3 (a + 7) - (3 a + 3)

e^{2 l n (1 + x^{2})}

(8 x^{2} y - 3 y^{2}) (2 a x^{3})