en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2/3 (8)^{-1/3}

Solution

simplify

\frac{2}{3} (8)^{- \frac{1}{3}}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

\frac{2}{3} \cdot 8^{- \frac{1}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

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

3 (- \frac{1}{3}) = - 1

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

Apply exponent rule:

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

2^{- 1} = \frac{1}{2}

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

Cross-cancel common factor:

2

= \frac{1}{3}

Popular Examples

simplify \sqrt[5]{32x^{15}}simplify

simplify (4x-1/(16x))^2 simplify

(4 x - \frac{1}{16 x})^{2}

factor 4x^3+4x^2-24x factor

4 x^{3} + 4 x^{2} - 24 x

factor 2x^3-x^2-145x-72 factor

2 x^{3} - x^{2} - 145 x - 72

simplify (2-sqrt(7))/(sqrt(7)-4)simplify

\frac{2 - 7}{7 - 4}

Frequently Asked Questions (FAQ)

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