en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

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

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

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

Popular Examples

simplify (3+x)2 simplify

(3 + x) 2

simplify (8-4i)-(2-7i)simplify

(8 - 4 i) - (2 - 7 i)

simplify (-36)/(-9)simplify

\frac{- 36}{- 9}

simplify x^{-7}*x^3 simplify

x^{- 7} \cdot x^{3}

simplify sqrt(x)-sqrt(x)simplify

x - x

Frequently Asked Questions (FAQ)

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