en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 0.5x^{-0.5}

Solution

simplify

0.5 x^{- 0.5}

Solution

\frac{1}{2 x ^{0.5}}

Solution steps

0.5 x^{- 0.5}

Apply exponent rule:

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

x^{- 0.5} = \frac{1}{x ^{0.5}}

= 0.5 \cdot \frac{1}{x ^{0.5}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{0.5 \cdot 1}{x ^{0.5}}

Multiply the numbers:

0.5 \cdot 1 = 0.5

= \frac{0.5}{x ^{0.5}}

Simplify

\frac{0.5}{x ^{0.5}} : \frac{5}{10 x ^{0.5}}

= \frac{5}{10 x ^{0.5}}

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

= \frac{1}{2 x ^{0.5}}

Popular Examples

simplify 12sqrt(2)^2 simplify

12 2^{2}

simplify e^{-ln(sec(x))}simplify

e^{- l n (s e c (x))}

simplify (2x^3)(4x^2)simplify

(2 x^{3}) (4 x^{2})

simplify-2sqrt(2)^2 simplify

- 2 2^{2}

simplify n^{2/3}m^{1/3}p^{2/3}simplify

n^{\frac{2}{3}} m^{\frac{1}{3}} p^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is 0.5x^{-0.5} ?
The solution to 0.5x^{-0.5} is 1/(2x^{0.5)}