en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8+8i)^{1/3}

Solution

simplify

(8 + 8 i)^{\frac{1}{3}}

Solution

2 (1 + i)^{\frac{1}{3}}

Solution steps

(8 + 8 i)^{\frac{1}{3}}

Factor

8 + 8 i : 8 (1 + i)

= (8 (1 + i))^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 8^{\frac{1}{3}} (1 + i)^{\frac{1}{3}}

8^{\frac{1}{3}} = 2

= 2 (1 + i)^{\frac{1}{3}}

Popular Examples

expand (2-a)^2 expand

(2 - a)^{2}

simplify 12*(-1)simplify

12 \cdot (- 1)

factor m^4-18m^2+81 factor

m^{4} - 18 m^{2} + 81

simplify-log_{4}(16)simplify

- lo g_{4} (16)

expand (x+12)(x-8)expand

(x + 12) (x - 8)

Frequently Asked Questions (FAQ)

What is (8+8i)^{1/3} ?
The solution to (8+8i)^{1/3} is 2(1+i)^{1/3}