en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/27)^{(-2)/3}

Solution

simplify

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

Solution

9

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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

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

2 7^{\frac{- 2}{3}} = \frac{1}{9}

= \frac{1}{\frac{1}{9}}

\frac{1}{\frac{1}{9}} = 9

= 9

Popular Examples

simplify \sqrt[3]{1.25}simplify

expand (2t-2)^2 expand

(2 t - 2)^{2}

simplify ((x^3+y^3))/(x+y)simplify

\frac{( x ^{3} + y ^{3} )}{x + y}

simplify \sqrt[6]{x^{12}y^{15}}simplify

- 8 \div \frac{1}{4}

Frequently Asked Questions (FAQ)

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