en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 20^{-1/2}

Solution

simplify

2 0^{- \frac{1}{2}}

Solution

\frac{1}{2 \cdot 5 ^{\frac{1}{2}}}

+1

Decimal Notation

0.22360 \dots

Solution steps

2 0^{- \frac{1}{2}}

Prime factorization of

20 : 2^{2} \cdot 5

= (2^{2} \cdot 5)^{- \frac{1}{2}}

Apply exponent rule:

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

(2^{2} \cdot 5)^{- \frac{1}{2}} = (2^{2})^{- \frac{1}{2}} \cdot 5^{- \frac{1}{2}}

= (2^{2})^{- \frac{1}{2}} \cdot 5^{- \frac{1}{2}}

(2^{2})^{- \frac{1}{2}} = \frac{1}{2}

= \frac{1}{2} \cdot 5^{- \frac{1}{2}}

Apply exponent rule:

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

5^{- \frac{1}{2}} = \frac{1}{5 ^{\frac{1}{2}}}

= \frac{1}{2} \cdot \frac{1}{5 ^{\frac{1}{2}}}

\frac{1}{2} \cdot \frac{1}{5 ^{\frac{1}{2}}} = \frac{1}{2 \cdot 5 ^{\frac{1}{2}}}

= \frac{1}{2 \cdot 5 ^{\frac{1}{2}}}

Popular Examples

factor 2q^4+9q^3-18q^2 factor

2 q^{4} + 9 q^{3} - 18 q^{2}

factor v^2-15v+36 factor

v^{2} - 15 v + 36

\frac{x}{5} + 7 = 10

(x+4)(2x-3)<= 0

(x + 4) (2 x - 3) \leq 0

simplify (100)/(1-(1+\frac{0.06){12})^{-12(15)}}simplify

\frac{100}{1 - ( 1 + \frac{0.06}{12} ) ^{- 12 (15)}}

Frequently Asked Questions (FAQ)

What is 20^{-1/2} ?
The solution to 20^{-1/2} is 1/(2*5^{1/2)}