en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(a^{3/2)}

Solution

simplify

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

Solution

a^{\frac{3}{4}}

Solution steps

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

Apply radical rule:

n a^{m} = a^{\frac{m}{n}},

assuming

a \geq 0

a^{\frac{3}{2}} = a^{\frac{\frac{3}{2}}{2}}

= a^{\frac{\frac{3}{2}}{2}}

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

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

Popular Examples

simplify e^{-y}(e^yy)simplify

e^{- y} (e^{y} y)

f (x) = arccot (x)

domain of f(x)=e^{-x}(-e^{-x})domain

f (x) = e^{- x} (- e^{- x})

simplify 113803.2(1+0.2)^{-1}simplify

113803.2 (1 + 0.2)^{- 1}

simplify (e^{5/2})/(e^{25/2)}simplify

\frac{e ^{\frac{5}{2}}}{e ^{\frac{25}{2}}}

Frequently Asked Questions (FAQ)

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