en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (144k^2r^{14})^{1/2}

Solution

simplify

(144 k^{2} r^{14})^{\frac{1}{2}}

Solution

12 k r^{7}

Solution steps

(144 k^{2} r^{14})^{\frac{1}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(144 k^{2} r^{14})^{\frac{1}{2}} = 14 4^{\frac{1}{2}} (k^{2})^{\frac{1}{2}} (r^{14})^{\frac{1}{2}}

= 14 4^{\frac{1}{2}} (k^{2})^{\frac{1}{2}} (r^{14})^{\frac{1}{2}}

14 4^{\frac{1}{2}} = 12

= 12 (k^{2})^{\frac{1}{2}} (r^{14})^{\frac{1}{2}}

Simplify

(k^{2})^{\frac{1}{2}} : k

= 12 k (r^{14})^{\frac{1}{2}}

Simplify

(r^{14})^{\frac{1}{2}} : r^{7}

= 12 k r^{7}

Popular Examples

expand (y+5)^3 expand

(y + 5)^{3}

simplify 6m-2n+m+4n simplify

6 m - 2 n + m + 4 n

simplify ((5u^{-2}v^{-1}))/((7v^{-2)-u^{-1})}simplify

\frac{( 5 u ^{- 2} v ^{- 1} )}{( 7 v ^{- 2} - u ^{- 1} )}

simplify ((x^2-y)/2)^2 simplify

(\frac{x ^{2} - y}{2})^{2}

simplify 5x+7x+6x simplify

5 x + 7 x + 6 x

Frequently Asked Questions (FAQ)

What is (144k^2r^{14})^{1/2} ?
The solution to (144k^2r^{14})^{1/2} is 12kr^7