en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8/27)^{-2/3}

Solution

simplify

(\frac{8}{27})^{- \frac{2}{3}}

Solution

\frac{9}{4}

+1

Decimal Notation

2.25

Solution steps

(\frac{8}{27})^{- \frac{2}{3}}

Apply exponent rule:

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

(\frac{8}{27})^{- \frac{2}{3}} = \frac{1}{( \frac{8}{27} ) ^{\frac{2}{3}}}

= \frac{1}{( \frac{8}{27} ) ^{\frac{2}{3}}}

(\frac{8}{27})^{\frac{2}{3}} = \frac{4}{9}

= \frac{1}{\frac{4}{9}}

Apply the fraction rule:

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

= \frac{9}{4}

Popular Examples

(5^3-(6+4)^2)/(5^1)

\frac{5 ^{3} - ( 6 + 4 ) ^{2}}{5 ^{1}}

simplify 140*pi/(180)simplify

140 \cdot \frac{π}{180}

simplify 3/5+3/4 simplify

\frac{3}{5} + \frac{3}{4}

x + 10 = - 10

simplify 1-2/5 simplify

1 - \frac{2}{5}

Frequently Asked Questions (FAQ)

What is (8/27)^{-2/3} ?
The solution to (8/27)^{-2/3} is 9/4