en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-27)^{(-2)/3}

Solution

simplify

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

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

\frac{- 2}{3} = - \frac{2}{3}

= (- 27)^{- \frac{2}{3}}

Apply exponent rule:

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

(- 27)^{- \frac{2}{3}} = \frac{1}{( - 27 ) ^{\frac{2}{3}}}

= \frac{1}{( - 27 ) ^{\frac{2}{3}}}

(- 27)^{\frac{2}{3}} = 2 7^{\frac{2}{3}}

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

2 7^{\frac{2}{3}} = 9

= \frac{1}{9}

Popular Examples

factor (x^2+x-6)(2x^2+4x)factor

(x^{2} + x - 6) (2 x^{2} + 4 x)

simplify 5/8+1/2 simplify

\frac{5}{8} + \frac{1}{2}

simplify (125x^3y^6)/(5x^8y^7)simplify

\frac{125 x ^{3} y ^{6}}{5 x ^{8} y ^{7}}

\frac{1}{x} > 4

(y (1 - y)) - 2 = 0

Frequently Asked Questions (FAQ)

What is (-27)^{(-2)/3} ?
The solution to (-27)^{(-2)/3} is 1/9