en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (144p^2q^6)^{1/2}

Solution

simplify

(144 p^{2} q^{6})^{\frac{1}{2}}

Solution

12 p q^{3}

Solution steps

(144 p^{2} q^{6})^{\frac{1}{2}}

Apply exponent rule:

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

(144 p^{2} q^{6})^{\frac{1}{2}} = 14 4^{\frac{1}{2}} (p^{2})^{\frac{1}{2}} (q^{6})^{\frac{1}{2}}

= 14 4^{\frac{1}{2}} (p^{2})^{\frac{1}{2}} (q^{6})^{\frac{1}{2}}

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

= 12 (p^{2})^{\frac{1}{2}} (q^{6})^{\frac{1}{2}}

Simplify

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

= 12 p (q^{6})^{\frac{1}{2}}

Simplify

(q^{6})^{\frac{1}{2}} : q^{3}

= 12 p q^{3}

Popular Examples

simplify 3sqrt(96)simplify

396

expand (2m^2-5n)^2 expand

(2 m^{2} - 5 n)^{2}

simplify 4-5/x simplify

4 - \frac{5}{x}

3/8 \div (-1)/2

\frac{3}{8} \div \frac{- 1}{2}

expand (x+2y+3z)^4 expand

(x + 2 y + 3 z)^{4}

Frequently Asked Questions (FAQ)

What is (144p^2q^6)^{1/2} ?
The solution to (144p^2q^6)^{1/2} is 12pq^3