en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 128^{1/3}

Solution

simplify

12 8^{\frac{1}{3}}

Solution

4 \cdot 2^{\frac{1}{3}}

+1

Decimal Notation

5.03968 \dots

Solution steps

12 8^{\frac{1}{3}}

Prime factorization of

128 : 2^{7}

= (2^{7})^{\frac{1}{3}}

Apply exponent rule:

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

2^{7} = 2^{6} \cdot 2

= (2^{6} \cdot 2)^{\frac{1}{3}}

Apply exponent rule:

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

(2^{6} \cdot 2)^{\frac{1}{3}} = (2^{6})^{\frac{1}{3}} \cdot 2^{\frac{1}{3}}

= (2^{6})^{\frac{1}{3}} \cdot 2^{\frac{1}{3}}

(2^{6})^{\frac{1}{3}} = 4

= 4 \cdot 2^{\frac{1}{3}}

Popular Examples

expand (3a^2b+2b^2)^3 expand

(3 a^{2} b + 2 b^{2})^{3}

simplify (3-2i)+(4+5i)simplify

(3 - 2 i) + (4 + 5 i)

simplify-6*1 simplify

- 6 \cdot 1

simplify (sqrt(7))/(sqrt(63))simplify

\frac{7}{63}

expand (6-1/2 a)^6 expand

(6 - \frac{1}{2} a)^{6}

Frequently Asked Questions (FAQ)

What is 128^{1/3} ?
The solution to 128^{1/3} is 4*2^{1/3}