en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^{1/2})/(x^6)

Solution

simplify

\frac{x ^{\frac{1}{2}}}{x ^{6}}

Solution

\frac{1}{x ^{\frac{11}{2}}}

Solution steps

\frac{x ^{\frac{1}{2}}}{x ^{6}}

Apply exponent rule:

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

= x^{\frac{1}{2} - 6}

Join

\frac{1}{2} - 6 : - \frac{11}{2}

= x^{- \frac{11}{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{\frac{11}{2}}}

Popular Examples

factor 81a^2+162ab+81b^2 factor

81 a^{2} + 162 ab + 81 b^{2}

x+((2x))/3+((x))/3 =3600

x + \frac{( 2 x )}{3} + \frac{( x )}{3} = 3600

simplify-9/2+1 simplify

- \frac{9}{2} + 1

simplify (5+sqrt(3))(5-sqrt(3))simplify

(5 + 3) (5 - 3)

simplify 1/(4pi(8.85*10^{-12))}simplify

\frac{1}{4 π ( 8.85 \cdot 1 0 ^{- 12} )}

Frequently Asked Questions (FAQ)

What is (x^{1/2})/(x^6) ?
The solution to (x^{1/2})/(x^6) is 1/(x^{11/2)}