en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

\frac{2 ^{\frac{3}{2}}}{3 ^{\frac{3}{2}}}

Solution

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

+1

Decimal Notation

0.54433 \dots

Solution steps

\frac{2 ^{\frac{3}{2}}}{3 ^{\frac{3}{2}}}

Apply exponent rule:

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

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

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

Popular Examples

simplify (e^{x^{(3.99)/4}})/(e^x)simplify

\frac{e ^{x^{\frac{3.99}{4}}}}{e ^{x}}

simplify (\sqrt[4]{3x+5})^2 simplify

simplify \sqrt[4]{400^3}simplify

simplify (1.96)^2*0.5*0.5 simplify

(1.96)^{2} \cdot 0.5 \cdot 0.5

simplify e^{-2t}e^{2t}simplify

e^{- 2 t} e^{2 t}

Frequently Asked Questions (FAQ)

What is (2^{3/2})/(3^{3/2)} ?
The solution to (2^{3/2})/(3^{3/2)} is (2/3)^{3/2}