en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(10000x))^{3/2}

Solution

simplify

(10000 x)^{\frac{3}{2}}

Solution

1000 x^{\frac{3}{4}}

Solution steps

(10000 x)^{\frac{3}{2}}

Simplify

10000 x : 100 x

= (100 x)^{\frac{3}{2}}

Apply exponent rule:

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

(100 x)^{\frac{3}{2}} = 10 0^{\frac{3}{2}} (x)^{\frac{3}{2}}

= 10 0^{\frac{3}{2}} (x)^{\frac{3}{2}}

10 0^{\frac{3}{2}} = 1000

= 1000 (x)^{\frac{3}{2}}

(x)^{\frac{3}{2}} = x^{\frac{3}{4}}

= 1000 x^{\frac{3}{4}}

Popular Examples

simplify e^{-4t}(cos(4t)+4sin(4t))simplify

e^{- 4 t} (cos (4 t) + 4 sin (4 t))

simplify 1.9*10^{-3}simplify

1.9 \cdot 1 0^{- 3}

simplify (8y-2y^2)(8y-2y^2)simplify

(8 y - 2 y^{2}) (8 y - 2 y^{2})

simplify e^{-0.13}simplify

e^{- 0.13}

simplify 4*pi*4^2 simplify

4 \cdot π \cdot 4^{2}

Frequently Asked Questions (FAQ)

What is (sqrt(10000x))^{3/2} ?
The solution to (sqrt(10000x))^{3/2} is 1000x^{3/4}