en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1000/27)^{2/3}

Solution

simplify

(\frac{1000}{27})^{\frac{2}{3}}

Solution

\frac{100}{9}

+1

Solution steps

(\frac{1000}{27})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{100 0 ^{\frac{2}{3}}}{2 7 ^{\frac{2}{3}}}

100 0^{\frac{2}{3}} = 100

= \frac{100}{2 7 ^{\frac{2}{3}}}

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

= \frac{100}{9}

Popular Examples

14 x - 23 = 14 x - 23

-0.1x^2+0.8x+7=0

- 0.1 x^{2} + 0.8 x + 7 = 0

simplify (12x^3y^4)/(15xy^5)simplify

\frac{12 x ^{3} y ^{4}}{15 x y ^{5}}

simplify-9/12-(-7/4)simplify

- \frac{9}{12} - (- \frac{7}{4})

\frac{x}{4} - 2 = 1

Frequently Asked Questions (FAQ)

What is (1000/27)^{2/3} ?
The solution to (1000/27)^{2/3} is 100/9