en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(y)^{3/2}

Solution

simplify

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

Solution

y^{\frac{3}{4}}

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= y^{\frac{1}{2} \cdot \frac{3}{2}}

\frac{1}{2} \cdot \frac{3}{2} = \frac{3}{4}

= y^{\frac{3}{4}}

Popular Examples

simplify sqrt(\sqrt[3]{\sqrt[4]{128*2)}}simplify

simplify 4.07*10^{-9}((0.36)/(5*10^{-6)})simplify

4.07 \cdot 1 0^{- 9} (\frac{0.36}{5 \cdot 1 0 ^{- 6}})

expand 2(1-2x)^{-1}expand

2 (1 - 2 x)^{- 1}

simplify 1/2 e^{-0/2}simplify

\frac{1}{2} e^{- \frac{0}{2}}

simplify \sqrt[5]{2x}*\sqrt[5]{3}*\sqrt[5]{x}simplify

Frequently Asked Questions (FAQ)

What is sqrt(y)^{3/2} ?
The solution to sqrt(y)^{3/2} is y^{3/4}