en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8/125)^{-2/3}

Solution

simplify

(\frac{8}{125})^{- \frac{2}{3}}

Solution

\frac{25}{4}

+1

Solution steps

(\frac{8}{125})^{- \frac{2}{3}}

Apply exponent rule:

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

(\frac{8}{125})^{- \frac{2}{3}} = \frac{1}{( \frac{8}{125} ) ^{\frac{2}{3}}}

= \frac{1}{( \frac{8}{125} ) ^{\frac{2}{3}}}

(\frac{8}{125})^{\frac{2}{3}} = \frac{4}{25}

= \frac{1}{\frac{4}{25}}

Apply the fraction rule:

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

= \frac{25}{4}

Popular Examples

v+4>= 2\land 8v-20<= 36

v + 4 \geq 2 and 8 v - 20 \leq 36

factor sqrt(2+2i)factor

2 + 2 i

- 7 = - 3 + a

- 5 ∣ 6 - x ∣ - 5 > - 45

simplify (2(5/12))/(1-(5/12)^2)simplify

\frac{2 ( \frac{5}{12} )}{1 - ( \frac{5}{12} ) ^{2}}

Frequently Asked Questions (FAQ)

What is (8/125)^{-2/3} ?
The solution to (8/125)^{-2/3} is 25/4