en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

simplify (x^3)^{1/2}

Solution

simplify

(x^{3})^{\frac{1}{2}}

Solution

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

Solution steps

(x^{3})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Popular Examples

derivative of (sin(x))/((sin(x)+x^2))

d er i v a t i v e \frac{sin ( x )}{( sin ( x ) + x ^{2} )}

derivative of y= x/((x+1)^{1/2)}

d er i v a t i v e y = \frac{x}{( x + 1 ) ^{\frac{1}{2}}}

d/(dt)(t^2+t^3)

\frac{d}{d t} (t^{2} + t^{3})

derivative of 2cos(3x+2sin(10y)+3x-10y)

\frac{d}{d x} (2 cos (3 x) + 2 sin (10 y) + 3 x - 10 y)

derivative of ((x^2+3))/((x+1))

d er i v a t i v e \frac{( x ^{2} + 3 )}{( x + 1 )}

Frequently Asked Questions (FAQ)

What is (x^3)^{1/2} ?
The solution to (x^3)^{1/2} is x^{3/2}