en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8^{(-1)/3}

Solution

simplify

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

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

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

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

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

= 2^{- 1}

Apply exponent rule:

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

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

= \frac{1}{2}

Popular Examples

factor 15c^3d^2+60c^2d^3 factor

15 c^{3} d^{2} + 60 c^{2} d^{3}

a^{2} - 0.25 = 0

1000(10+x)=100x^2

1000 (10 + x) = 100 x^{2}

simplify (1/4)^{1/4}simplify

(\frac{1}{4})^{\frac{1}{4}}

simplify (1+(0.04)/4)^4-1 simplify

(1 + \frac{0.04}{4})^{4} - 1

Frequently Asked Questions (FAQ)

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