en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{3}{2}

Popular Examples

simplify-2/7+1 simplify

- \frac{2}{7} + 1

simplify (13-sqrt(5))/(2/(sqrt(5)))simplify

\frac{13 - 5}{\frac{2}{5}}

simplify 5sqrt(7)+sqrt(7)-2sqrt(7)simplify

57 + 7 - 27

simplify (3^8\times 3^5)/(3^9)simplify

\frac{3 ^{8} \times 3 ^{5}}{3 ^{9}}

expand (y^3-4x)^3 expand

(y^{3} - 4 x)^{3}

Frequently Asked Questions (FAQ)

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